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Finding the Fourth Proportional to 1,637.31, 2,456.19 and 597.18

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Solution

The fourth proportional to 1,637.31, 2,456.19 and 597.18 is: 895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.31 : 2,456.19 = 597.18 : x
  2. Step 2: Convert to fraction form
    1,637.31/2,456.19 = 597.18/x
  3. Step 3: Cross multiply
    1,637.31x = 2,456.19 × 597.18
  4. Step 4: Simplify right side
    1,637.31x = 1,466,787.54
  5. Step 5: Solve for x
    x = 1,466,787.54/1,637.31
  6. Step 6: Final answer
    x = 895.85

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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.