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Finding the Fourth Proportional to 1,631.57, 2,251.63 and 932.94

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Solution

The fourth proportional to 1,631.57, 2,251.63 and 932.94 is: 1,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.57 : 2,251.63 = 932.94 : x
  2. Step 2: Convert to fraction form
    1,631.57/2,251.63 = 932.94/x
  3. Step 3: Cross multiply
    1,631.57x = 2,251.63 × 932.94
  4. Step 4: Simplify right side
    1,631.57x = 2,100,631.03
  5. Step 5: Solve for x
    x = 2,100,631.03/1,631.57
  6. Step 6: Final answer
    x = 1,287.49

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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.