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Finding the Fourth Proportional to 2,249.60, 3,104.50 and 1,254.86

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Solution

The fourth proportional to 2,249.60, 3,104.50 and 1,254.86 is: 1,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.60 : 3,104.50 = 1,254.86 : x
  2. Step 2: Convert to fraction form
    2,249.60/3,104.50 = 1,254.86/x
  3. Step 3: Cross multiply
    2,249.60x = 3,104.50 × 1,254.86
  4. Step 4: Simplify right side
    2,249.60x = 3,895,712.87
  5. Step 5: Solve for x
    x = 3,895,712.87/2,249.60
  6. Step 6: Final answer
    x = 1,731.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.