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Finding the Fourth Proportional to 2,432.52, 3,649.86 and 1,278

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Solution

The fourth proportional to 2,432.52, 3,649.86 and 1,278 is: 1,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.52 : 3,649.86 = 1,278 : x
  2. Step 2: Convert to fraction form
    2,432.52/3,649.86 = 1,278/x
  3. Step 3: Cross multiply
    2,432.52x = 3,649.86 × 1,278
  4. Step 4: Simplify right side
    2,432.52x = 4,664,521.08
  5. Step 5: Solve for x
    x = 4,664,521.08/2,432.52
  6. Step 6: Final answer
    x = 1,917.57

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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.