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Finding the Fourth Proportional to 2,809.52, 3,877.96 and 1,631.12

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Solution

The fourth proportional to 2,809.52, 3,877.96 and 1,631.12 is: 2,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.52 : 3,877.96 = 1,631.12 : x
  2. Step 2: Convert to fraction form
    2,809.52/3,877.96 = 1,631.12/x
  3. Step 3: Cross multiply
    2,809.52x = 3,877.96 × 1,631.12
  4. Step 4: Simplify right side
    2,809.52x = 6,325,418.12
  5. Step 5: Solve for x
    x = 6,325,418.12/2,809.52
  6. Step 6: Final answer
    x = 2,251.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.