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Finding the Fourth Proportional to 2,487.68, 3,713.44 and 2,282.24

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Solution

The fourth proportional to 2,487.68, 3,713.44 and 2,282.24 is: 3,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.68 : 3,713.44 = 2,282.24 : x
  2. Step 2: Convert to fraction form
    2,487.68/3,713.44 = 2,282.24/x
  3. Step 3: Cross multiply
    2,487.68x = 3,713.44 × 2,282.24
  4. Step 4: Simplify right side
    2,487.68x = 8,474,961.31
  5. Step 5: Solve for x
    x = 8,474,961.31/2,487.68
  6. Step 6: Final answer
    x = 3,406.77

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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.