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Finding the Fourth Proportional to 2,249.29, 3,373.80 and 862.57

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Solution

The fourth proportional to 2,249.29, 3,373.80 and 862.57 is: 1,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.29 : 3,373.80 = 862.57 : x
  2. Step 2: Convert to fraction form
    2,249.29/3,373.80 = 862.57/x
  3. Step 3: Cross multiply
    2,249.29x = 3,373.80 × 862.57
  4. Step 4: Simplify right side
    2,249.29x = 2,910,117.48
  5. Step 5: Solve for x
    x = 2,910,117.48/2,249.29
  6. Step 6: Final answer
    x = 1,293.80

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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.