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Finding the Fourth Proportional to 1,787.01, 2,463.96 and 1,432.65

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Solution

The fourth proportional to 1,787.01, 2,463.96 and 1,432.65 is: 1,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.01 : 2,463.96 = 1,432.65 : x
  2. Step 2: Convert to fraction form
    1,787.01/2,463.96 = 1,432.65/x
  3. Step 3: Cross multiply
    1,787.01x = 2,463.96 × 1,432.65
  4. Step 4: Simplify right side
    1,787.01x = 3,530,006.91
  5. Step 5: Solve for x
    x = 3,530,006.91/1,787.01
  6. Step 6: Final answer
    x = 1,975.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.