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Finding the Fourth Proportional to 3,282.78, 4,922.88 and 1,432.59

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Solution

The fourth proportional to 3,282.78, 4,922.88 and 1,432.59 is: 2,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.78 : 4,922.88 = 1,432.59 : x
  2. Step 2: Convert to fraction form
    3,282.78/4,922.88 = 1,432.59/x
  3. Step 3: Cross multiply
    3,282.78x = 4,922.88 × 1,432.59
  4. Step 4: Simplify right side
    3,282.78x = 7,052,468.66
  5. Step 5: Solve for x
    x = 7,052,468.66/3,282.78
  6. Step 6: Final answer
    x = 2,148.32

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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.