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Finding the Fourth Proportional to 3,280.86, 4,921.65 and 1,332.90

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Solution

The fourth proportional to 3,280.86, 4,921.65 and 1,332.90 is: 1,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.86 : 4,921.65 = 1,332.90 : x
  2. Step 2: Convert to fraction form
    3,280.86/4,921.65 = 1,332.90/x
  3. Step 3: Cross multiply
    3,280.86x = 4,921.65 × 1,332.90
  4. Step 4: Simplify right side
    3,280.86x = 6,560,067.29
  5. Step 5: Solve for x
    x = 6,560,067.29/3,280.86
  6. Step 6: Final answer
    x = 1,999.50

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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.