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Finding the Fourth Proportional to 2,560.64, 3,819.04 and 2,192

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Solution

The fourth proportional to 2,560.64, 3,819.04 and 2,192 is: 3,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.64 : 3,819.04 = 2,192 : x
  2. Step 2: Convert to fraction form
    2,560.64/3,819.04 = 2,192/x
  3. Step 3: Cross multiply
    2,560.64x = 3,819.04 × 2,192
  4. Step 4: Simplify right side
    2,560.64x = 8,371,335.68
  5. Step 5: Solve for x
    x = 8,371,335.68/2,560.64
  6. Step 6: Final answer
    x = 3,269.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.