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Finding the Fourth Proportional to 1,932.52, 2,666.71 and 1,093.27

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Solution

The fourth proportional to 1,932.52, 2,666.71 and 1,093.27 is: 1,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.52 : 2,666.71 = 1,093.27 : x
  2. Step 2: Convert to fraction form
    1,932.52/2,666.71 = 1,093.27/x
  3. Step 3: Cross multiply
    1,932.52x = 2,666.71 × 1,093.27
  4. Step 4: Simplify right side
    1,932.52x = 2,915,434.04
  5. Step 5: Solve for x
    x = 2,915,434.04/1,932.52
  6. Step 6: Final answer
    x = 1,508.62

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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.