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Finding the Fourth Proportional to 2,221.32, 3,332.50 and 760.46

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Solution

The fourth proportional to 2,221.32, 3,332.50 and 760.46 is: 1,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.32 : 3,332.50 = 760.46 : x
  2. Step 2: Convert to fraction form
    2,221.32/3,332.50 = 760.46/x
  3. Step 3: Cross multiply
    2,221.32x = 3,332.50 × 760.46
  4. Step 4: Simplify right side
    2,221.32x = 2,534,232.95
  5. Step 5: Solve for x
    x = 2,534,232.95/2,221.32
  6. Step 6: Final answer
    x = 1,140.87

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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.