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Finding the Fourth Proportional to 2,249.10, 3,104.46 and 1,411.20

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Solution

The fourth proportional to 2,249.10, 3,104.46 and 1,411.20 is: 1,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.10 : 3,104.46 = 1,411.20 : x
  2. Step 2: Convert to fraction form
    2,249.10/3,104.46 = 1,411.20/x
  3. Step 3: Cross multiply
    2,249.10x = 3,104.46 × 1,411.20
  4. Step 4: Simplify right side
    2,249.10x = 4,381,013.95
  5. Step 5: Solve for x
    x = 4,381,013.95/2,249.10
  6. Step 6: Final answer
    x = 1,947.90

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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.