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Finding the Fourth Proportional to 2,432.16, 3,647.03 and 787.66

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Solution

The fourth proportional to 2,432.16, 3,647.03 and 787.66 is: 1,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.16 : 3,647.03 = 787.66 : x
  2. Step 2: Convert to fraction form
    2,432.16/3,647.03 = 787.66/x
  3. Step 3: Cross multiply
    2,432.16x = 3,647.03 × 787.66
  4. Step 4: Simplify right side
    2,432.16x = 2,872,606.59
  5. Step 5: Solve for x
    x = 2,872,606.59/2,432.16
  6. Step 6: Final answer
    x = 1,181.09

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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.