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Finding the Fourth Proportional to 2,286.08, 3,429.32 and 987.56

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Solution

The fourth proportional to 2,286.08, 3,429.32 and 987.56 is: 1,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.08 : 3,429.32 = 987.56 : x
  2. Step 2: Convert to fraction form
    2,286.08/3,429.32 = 987.56/x
  3. Step 3: Cross multiply
    2,286.08x = 3,429.32 × 987.56
  4. Step 4: Simplify right side
    2,286.08x = 3,386,659.26
  5. Step 5: Solve for x
    x = 3,386,659.26/2,286.08
  6. Step 6: Final answer
    x = 1,481.43

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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.