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Finding the Fourth Proportional to 1,519.09, 2,276.06 and 932.87

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Solution

The fourth proportional to 1,519.09, 2,276.06 and 932.87 is: 1,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.09 : 2,276.06 = 932.87 : x
  2. Step 2: Convert to fraction form
    1,519.09/2,276.06 = 932.87/x
  3. Step 3: Cross multiply
    1,519.09x = 2,276.06 × 932.87
  4. Step 4: Simplify right side
    1,519.09x = 2,123,264.73
  5. Step 5: Solve for x
    x = 2,123,264.73/1,519.09
  6. Step 6: Final answer
    x = 1,397.73

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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.