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Finding the Fourth Proportional to 2,431.29, 3,646.17 and 787.46

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Solution

The fourth proportional to 2,431.29, 3,646.17 and 787.46 is: 1,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.29 : 3,646.17 = 787.46 : x
  2. Step 2: Convert to fraction form
    2,431.29/3,646.17 = 787.46/x
  3. Step 3: Cross multiply
    2,431.29x = 3,646.17 × 787.46
  4. Step 4: Simplify right side
    2,431.29x = 2,871,213.03
  5. Step 5: Solve for x
    x = 2,871,213.03/2,431.29
  6. Step 6: Final answer
    x = 1,180.94

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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.