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Finding the Fourth Proportional to 3,332.74, 5,000.22 and 1,601.50

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Solution

The fourth proportional to 3,332.74, 5,000.22 and 1,601.50 is: 2,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332.74 : 5,000.22 = 1,601.50 : x
  2. Step 2: Convert to fraction form
    3,332.74/5,000.22 = 1,601.50/x
  3. Step 3: Cross multiply
    3,332.74x = 5,000.22 × 1,601.50
  4. Step 4: Simplify right side
    3,332.74x = 8,007,852.33
  5. Step 5: Solve for x
    x = 8,007,852.33/3,332.74
  6. Step 6: Final answer
    x = 2,402.78

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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.