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Finding the Fourth Proportional to 2,022.04, 3,034.12 and 851.86

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Solution

The fourth proportional to 2,022.04, 3,034.12 and 851.86 is: 1,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.04 : 3,034.12 = 851.86 : x
  2. Step 2: Convert to fraction form
    2,022.04/3,034.12 = 851.86/x
  3. Step 3: Cross multiply
    2,022.04x = 3,034.12 × 851.86
  4. Step 4: Simplify right side
    2,022.04x = 2,584,645.46
  5. Step 5: Solve for x
    x = 2,584,645.46/2,022.04
  6. Step 6: Final answer
    x = 1,278.24

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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.