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Finding the Fourth Proportional to 2,279.56, 3,419.52 and 1,124.68

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Solution

The fourth proportional to 2,279.56, 3,419.52 and 1,124.68 is: 1,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.56 : 3,419.52 = 1,124.68 : x
  2. Step 2: Convert to fraction form
    2,279.56/3,419.52 = 1,124.68/x
  3. Step 3: Cross multiply
    2,279.56x = 3,419.52 × 1,124.68
  4. Step 4: Simplify right side
    2,279.56x = 3,845,865.75
  5. Step 5: Solve for x
    x = 3,845,865.75/2,279.56
  6. Step 6: Final answer
    x = 1,687.11

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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.