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Finding the Fourth Proportional to 2,431.35, 3,647.61 and 787.90

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Solution

The fourth proportional to 2,431.35, 3,647.61 and 787.90 is: 1,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.35 : 3,647.61 = 787.90 : x
  2. Step 2: Convert to fraction form
    2,431.35/3,647.61 = 787.90/x
  3. Step 3: Cross multiply
    2,431.35x = 3,647.61 × 787.90
  4. Step 4: Simplify right side
    2,431.35x = 2,873,951.92
  5. Step 5: Solve for x
    x = 2,873,951.92/2,431.35
  6. Step 6: Final answer
    x = 1,182.04

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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.