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Finding the Fourth Proportional to 2,400.86, 3,599.87 and 1,524.71

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Solution

The fourth proportional to 2,400.86, 3,599.87 and 1,524.71 is: 2,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.86 : 3,599.87 = 1,524.71 : x
  2. Step 2: Convert to fraction form
    2,400.86/3,599.87 = 1,524.71/x
  3. Step 3: Cross multiply
    2,400.86x = 3,599.87 × 1,524.71
  4. Step 4: Simplify right side
    2,400.86x = 5,488,732.16
  5. Step 5: Solve for x
    x = 5,488,732.16/2,400.86
  6. Step 6: Final answer
    x = 2,286.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.