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Finding the Fourth Proportional to 1,631.04, 2,445.76 and 809.52

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Solution

The fourth proportional to 1,631.04, 2,445.76 and 809.52 is: 1,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.04 : 2,445.76 = 809.52 : x
  2. Step 2: Convert to fraction form
    1,631.04/2,445.76 = 809.52/x
  3. Step 3: Cross multiply
    1,631.04x = 2,445.76 × 809.52
  4. Step 4: Simplify right side
    1,631.04x = 1,979,891.64
  5. Step 5: Solve for x
    x = 1,979,891.64/1,631.04
  6. Step 6: Final answer
    x = 1,213.88

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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.