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Finding the Fourth Proportional to 2,686.68, 4,029.12 and 1,452.86

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Solution

The fourth proportional to 2,686.68, 4,029.12 and 1,452.86 is: 2,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.68 : 4,029.12 = 1,452.86 : x
  2. Step 2: Convert to fraction form
    2,686.68/4,029.12 = 1,452.86/x
  3. Step 3: Cross multiply
    2,686.68x = 4,029.12 × 1,452.86
  4. Step 4: Simplify right side
    2,686.68x = 5,853,747.28
  5. Step 5: Solve for x
    x = 5,853,747.28/2,686.68
  6. Step 6: Final answer
    x = 2,178.80

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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.