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Finding the Fourth Proportional to 2,426.70, 3,277.13 and 2,426.70

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Solution

The fourth proportional to 2,426.70, 3,277.13 and 2,426.70 is: 3,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.70 : 3,277.13 = 2,426.70 : x
  2. Step 2: Convert to fraction form
    2,426.70/3,277.13 = 2,426.70/x
  3. Step 3: Cross multiply
    2,426.70x = 3,277.13 × 2,426.70
  4. Step 4: Simplify right side
    2,426.70x = 7,952,599.24
  5. Step 5: Solve for x
    x = 7,952,599.24/2,426.70
  6. Step 6: Final answer
    x = 3,277.13

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Half scale
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Double scale
Find fourth proportional to 2,427.70, 3,278.48 and 2,427.70
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.