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Finding the Fourth Proportional to 1,711.90, 2,568.24 and 787.72

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Solution

The fourth proportional to 1,711.90, 2,568.24 and 787.72 is: 1,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.90 : 2,568.24 = 787.72 : x
  2. Step 2: Convert to fraction form
    1,711.90/2,568.24 = 787.72/x
  3. Step 3: Cross multiply
    1,711.90x = 2,568.24 × 787.72
  4. Step 4: Simplify right side
    1,711.90x = 2,023,054.01
  5. Step 5: Solve for x
    x = 2,023,054.01/1,711.90
  6. Step 6: Final answer
    x = 1,181.76

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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.