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Finding the Fourth Proportional to 2,251.18, 3,105.84 and 1,779.22

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Solution

The fourth proportional to 2,251.18, 3,105.84 and 1,779.22 is: 2,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.18 : 3,105.84 = 1,779.22 : x
  2. Step 2: Convert to fraction form
    2,251.18/3,105.84 = 1,779.22/x
  3. Step 3: Cross multiply
    2,251.18x = 3,105.84 × 1,779.22
  4. Step 4: Simplify right side
    2,251.18x = 5,525,972.64
  5. Step 5: Solve for x
    x = 5,525,972.64/2,251.18
  6. Step 6: Final answer
    x = 2,454.70

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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.