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Finding the Fourth Proportional to 1,367, 2,044.24 and 1,020.56

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Solution

The fourth proportional to 1,367, 2,044.24 and 1,020.56 is: 1,526.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367 : 2,044.24 = 1,020.56 : x
  2. Step 2: Convert to fraction form
    1,367/2,044.24 = 1,020.56/x
  3. Step 3: Cross multiply
    1,367x = 2,044.24 × 1,020.56
  4. Step 4: Simplify right side
    1,367x = 2,086,269.57
  5. Step 5: Solve for x
    x = 2,086,269.57/1,367
  6. Step 6: Final answer
    x = 1,526.17

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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.