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Finding the Fourth Proportional to 1,666.26, 2,498.82 and 691.86

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Solution

The fourth proportional to 1,666.26, 2,498.82 and 691.86 is: 1,037.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.26 : 2,498.82 = 691.86 : x
  2. Step 2: Convert to fraction form
    1,666.26/2,498.82 = 691.86/x
  3. Step 3: Cross multiply
    1,666.26x = 2,498.82 × 691.86
  4. Step 4: Simplify right side
    1,666.26x = 1,728,833.61
  5. Step 5: Solve for x
    x = 1,728,833.61/1,666.26
  6. Step 6: Final answer
    x = 1,037.55

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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.