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Finding the Fourth Proportional to 1,787.26, 2,681.90 and 747.08

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Solution

The fourth proportional to 1,787.26, 2,681.90 and 747.08 is: 1,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.26 : 2,681.90 = 747.08 : x
  2. Step 2: Convert to fraction form
    1,787.26/2,681.90 = 747.08/x
  3. Step 3: Cross multiply
    1,787.26x = 2,681.90 × 747.08
  4. Step 4: Simplify right side
    1,787.26x = 2,003,593.85
  5. Step 5: Solve for x
    x = 2,003,593.85/1,787.26
  6. Step 6: Final answer
    x = 1,121.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.