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Finding the Fourth Proportional to 1,631.20, 2,442.48 and 859.36

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Solution

The fourth proportional to 1,631.20, 2,442.48 and 859.36 is: 1,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.20 : 2,442.48 = 859.36 : x
  2. Step 2: Convert to fraction form
    1,631.20/2,442.48 = 859.36/x
  3. Step 3: Cross multiply
    1,631.20x = 2,442.48 × 859.36
  4. Step 4: Simplify right side
    1,631.20x = 2,098,969.61
  5. Step 5: Solve for x
    x = 2,098,969.61/1,631.20
  6. Step 6: Final answer
    x = 1,286.76

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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.