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Finding the Fourth Proportional to 1,691.76, 2,538.66 and 952.94

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Solution

The fourth proportional to 1,691.76, 2,538.66 and 952.94 is: 1,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.76 : 2,538.66 = 952.94 : x
  2. Step 2: Convert to fraction form
    1,691.76/2,538.66 = 952.94/x
  3. Step 3: Cross multiply
    1,691.76x = 2,538.66 × 952.94
  4. Step 4: Simplify right side
    1,691.76x = 2,419,190.66
  5. Step 5: Solve for x
    x = 2,419,190.66/1,691.76
  6. Step 6: Final answer
    x = 1,429.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.