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Finding the Fourth Proportional to 1,787.31, 2,681.09 and 617.43

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Solution

The fourth proportional to 1,787.31, 2,681.09 and 617.43 is: 926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.31 : 2,681.09 = 617.43 : x
  2. Step 2: Convert to fraction form
    1,787.31/2,681.09 = 617.43/x
  3. Step 3: Cross multiply
    1,787.31x = 2,681.09 × 617.43
  4. Step 4: Simplify right side
    1,787.31x = 1,655,382.31
  5. Step 5: Solve for x
    x = 1,655,382.31/1,787.31
  6. Step 6: Final answer
    x = 926.19

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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.