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Finding the Fourth Proportional to 1,630.76, 2,250.42 and 932.12

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Solution

The fourth proportional to 1,630.76, 2,250.42 and 932.12 is: 1,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.76 : 2,250.42 = 932.12 : x
  2. Step 2: Convert to fraction form
    1,630.76/2,250.42 = 932.12/x
  3. Step 3: Cross multiply
    1,630.76x = 2,250.42 × 932.12
  4. Step 4: Simplify right side
    1,630.76x = 2,097,661.49
  5. Step 5: Solve for x
    x = 2,097,661.49/1,630.76
  6. Step 6: Final answer
    x = 1,286.31

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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.