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Finding the Fourth Proportional to 1,665, 2,496.14 and 691.80

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Solution

The fourth proportional to 1,665, 2,496.14 and 691.80 is: 1,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665 : 2,496.14 = 691.80 : x
  2. Step 2: Convert to fraction form
    1,665/2,496.14 = 691.80/x
  3. Step 3: Cross multiply
    1,665x = 2,496.14 × 691.80
  4. Step 4: Simplify right side
    1,665x = 1,726,826.19
  5. Step 5: Solve for x
    x = 1,726,826.19/1,665
  6. Step 6: Final answer
    x = 1,037.13

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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.