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Finding the Fourth Proportional to 1,286.69, 1,932.20 and 1,220.93

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Solution

The fourth proportional to 1,286.69, 1,932.20 and 1,220.93 is: 1,833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.69 : 1,932.20 = 1,220.93 : x
  2. Step 2: Convert to fraction form
    1,286.69/1,932.20 = 1,220.93/x
  3. Step 3: Cross multiply
    1,286.69x = 1,932.20 × 1,220.93
  4. Step 4: Simplify right side
    1,286.69x = 2,359,080.95
  5. Step 5: Solve for x
    x = 2,359,080.95/1,286.69
  6. Step 6: Final answer
    x = 1,833.45

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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.