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Finding the Fourth Proportional to 2,711.61, 4,069.53 and 1,251.18

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Solution

The fourth proportional to 2,711.61, 4,069.53 and 1,251.18 is: 1,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.61 : 4,069.53 = 1,251.18 : x
  2. Step 2: Convert to fraction form
    2,711.61/4,069.53 = 1,251.18/x
  3. Step 3: Cross multiply
    2,711.61x = 4,069.53 × 1,251.18
  4. Step 4: Simplify right side
    2,711.61x = 5,091,714.55
  5. Step 5: Solve for x
    x = 5,091,714.55/2,711.61
  6. Step 6: Final answer
    x = 1,877.75

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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.