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Finding the Fourth Proportional to 2,432.97, 3,380.27 and 2,403.81

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Solution

The fourth proportional to 2,432.97, 3,380.27 and 2,403.81 is: 3,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.97 : 3,380.27 = 2,403.81 : x
  2. Step 2: Convert to fraction form
    2,432.97/3,380.27 = 2,403.81/x
  3. Step 3: Cross multiply
    2,432.97x = 3,380.27 × 2,403.81
  4. Step 4: Simplify right side
    2,432.97x = 8,125,514.81
  5. Step 5: Solve for x
    x = 8,125,514.81/2,432.97
  6. Step 6: Final answer
    x = 3,339.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.