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Finding the Fourth Proportional to 2,867.57, 4,301.37 and 787.61

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Solution

The fourth proportional to 2,867.57, 4,301.37 and 787.61 is: 1,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.57 : 4,301.37 = 787.61 : x
  2. Step 2: Convert to fraction form
    2,867.57/4,301.37 = 787.61/x
  3. Step 3: Cross multiply
    2,867.57x = 4,301.37 × 787.61
  4. Step 4: Simplify right side
    2,867.57x = 3,387,788.58
  5. Step 5: Solve for x
    x = 3,387,788.58/2,867.57
  6. Step 6: Final answer
    x = 1,181.41

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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.