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Finding the Fourth Proportional to 2,023.70, 3,034.50 and 927.12

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Solution

The fourth proportional to 2,023.70, 3,034.50 and 927.12 is: 1,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.70 : 3,034.50 = 927.12 : x
  2. Step 2: Convert to fraction form
    2,023.70/3,034.50 = 927.12/x
  3. Step 3: Cross multiply
    2,023.70x = 3,034.50 × 927.12
  4. Step 4: Simplify right side
    2,023.70x = 2,813,348.92
  5. Step 5: Solve for x
    x = 2,813,348.92/2,023.70
  6. Step 6: Final answer
    x = 1,390.20

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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.