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Finding the Fourth Proportional to 2,961.26, 4,463.02 and 2,961.26

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Solution

The fourth proportional to 2,961.26, 4,463.02 and 2,961.26 is: 4,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.26 : 4,463.02 = 2,961.26 : x
  2. Step 2: Convert to fraction form
    2,961.26/4,463.02 = 2,961.26/x
  3. Step 3: Cross multiply
    2,961.26x = 4,463.02 × 2,961.26
  4. Step 4: Simplify right side
    2,961.26x = 13,216,185.83
  5. Step 5: Solve for x
    x = 13,216,185.83/2,961.26
  6. Step 6: Final answer
    x = 4,463.02

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.