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Finding the Fourth Proportional to 2,251.76, 3,378.36 and 1,524.08

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Solution

The fourth proportional to 2,251.76, 3,378.36 and 1,524.08 is: 2,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.76 : 3,378.36 = 1,524.08 : x
  2. Step 2: Convert to fraction form
    2,251.76/3,378.36 = 1,524.08/x
  3. Step 3: Cross multiply
    2,251.76x = 3,378.36 × 1,524.08
  4. Step 4: Simplify right side
    2,251.76x = 5,148,890.91
  5. Step 5: Solve for x
    x = 5,148,890.91/2,251.76
  6. Step 6: Final answer
    x = 2,286.61

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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.