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Finding the Fourth Proportional to 2,073.68, 3,110.08 and 686.69

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Solution

The fourth proportional to 2,073.68, 3,110.08 and 686.69 is: 1,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.68 : 3,110.08 = 686.69 : x
  2. Step 2: Convert to fraction form
    2,073.68/3,110.08 = 686.69/x
  3. Step 3: Cross multiply
    2,073.68x = 3,110.08 × 686.69
  4. Step 4: Simplify right side
    2,073.68x = 2,135,645.28
  5. Step 5: Solve for x
    x = 2,135,645.28/2,073.68
  6. Step 6: Final answer
    x = 1,029.88

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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.