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Finding the Fourth Proportional to 2,279.52, 3,145.68 and 1,284.78

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Solution

The fourth proportional to 2,279.52, 3,145.68 and 1,284.78 is: 1,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.52 : 3,145.68 = 1,284.78 : x
  2. Step 2: Convert to fraction form
    2,279.52/3,145.68 = 1,284.78/x
  3. Step 3: Cross multiply
    2,279.52x = 3,145.68 × 1,284.78
  4. Step 4: Simplify right side
    2,279.52x = 4,041,506.75
  5. Step 5: Solve for x
    x = 4,041,506.75/2,279.52
  6. Step 6: Final answer
    x = 1,772.96

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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.