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Finding the Fourth Proportional to 2,146.82, 3,221.67 and 760.15

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Solution

The fourth proportional to 2,146.82, 3,221.67 and 760.15 is: 1,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.82 : 3,221.67 = 760.15 : x
  2. Step 2: Convert to fraction form
    2,146.82/3,221.67 = 760.15/x
  3. Step 3: Cross multiply
    2,146.82x = 3,221.67 × 760.15
  4. Step 4: Simplify right side
    2,146.82x = 2,448,952.45
  5. Step 5: Solve for x
    x = 2,448,952.45/2,146.82
  6. Step 6: Final answer
    x = 1,140.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.