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Finding the Fourth Proportional to 2,549.32, 3,822.14 and 1,251.70

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Solution

The fourth proportional to 2,549.32, 3,822.14 and 1,251.70 is: 1,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.32 : 3,822.14 = 1,251.70 : x
  2. Step 2: Convert to fraction form
    2,549.32/3,822.14 = 1,251.70/x
  3. Step 3: Cross multiply
    2,549.32x = 3,822.14 × 1,251.70
  4. Step 4: Simplify right side
    2,549.32x = 4,784,166.21
  5. Step 5: Solve for x
    x = 4,784,166.21/2,549.32
  6. Step 6: Final answer
    x = 1,876.65

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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.