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Finding the Fourth Proportional to 2,022.19, 3,034.46 and 852.12

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Solution

The fourth proportional to 2,022.19, 3,034.46 and 852.12 is: 1,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.19 : 3,034.46 = 852.12 : x
  2. Step 2: Convert to fraction form
    2,022.19/3,034.46 = 852.12/x
  3. Step 3: Cross multiply
    2,022.19x = 3,034.46 × 852.12
  4. Step 4: Simplify right side
    2,022.19x = 2,585,726.19
  5. Step 5: Solve for x
    x = 2,585,726.19/2,022.19
  6. Step 6: Final answer
    x = 1,278.68

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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.