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Finding the Fourth Proportional to 2,691.66, 4,037.49 and 1,521.66

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Solution

The fourth proportional to 2,691.66, 4,037.49 and 1,521.66 is: 2,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.66 : 4,037.49 = 1,521.66 : x
  2. Step 2: Convert to fraction form
    2,691.66/4,037.49 = 1,521.66/x
  3. Step 3: Cross multiply
    2,691.66x = 4,037.49 × 1,521.66
  4. Step 4: Simplify right side
    2,691.66x = 6,143,687.03
  5. Step 5: Solve for x
    x = 6,143,687.03/2,691.66
  6. Step 6: Final answer
    x = 2,282.49

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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.