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Finding the Fourth Proportional to 3,043.97, 4,566.19 and 964.14

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Solution

The fourth proportional to 3,043.97, 4,566.19 and 964.14 is: 1,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.97 : 4,566.19 = 964.14 : x
  2. Step 2: Convert to fraction form
    3,043.97/4,566.19 = 964.14/x
  3. Step 3: Cross multiply
    3,043.97x = 4,566.19 × 964.14
  4. Step 4: Simplify right side
    3,043.97x = 4,402,444.02
  5. Step 5: Solve for x
    x = 4,402,444.02/3,043.97
  6. Step 6: Final answer
    x = 1,446.28

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.