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Finding the Fourth Proportional to 2,249.22, 3,104.05 and 1,254.50

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Solution

The fourth proportional to 2,249.22, 3,104.05 and 1,254.50 is: 1,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.22 : 3,104.05 = 1,254.50 : x
  2. Step 2: Convert to fraction form
    2,249.22/3,104.05 = 1,254.50/x
  3. Step 3: Cross multiply
    2,249.22x = 3,104.05 × 1,254.50
  4. Step 4: Simplify right side
    2,249.22x = 3,894,030.73
  5. Step 5: Solve for x
    x = 3,894,030.73/2,249.22
  6. Step 6: Final answer
    x = 1,731.28

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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.