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Finding the Fourth Proportional to 3,292.28, 4,542.29 and 1,965.66

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Solution

The fourth proportional to 3,292.28, 4,542.29 and 1,965.66 is: 2,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.28 : 4,542.29 = 1,965.66 : x
  2. Step 2: Convert to fraction form
    3,292.28/4,542.29 = 1,965.66/x
  3. Step 3: Cross multiply
    3,292.28x = 4,542.29 × 1,965.66
  4. Step 4: Simplify right side
    3,292.28x = 8,928,597.76
  5. Step 5: Solve for x
    x = 8,928,597.76/3,292.28
  6. Step 6: Final answer
    x = 2,711.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.