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Finding the Fourth Proportional to 2,034.56, 3,052.92 and 878.96

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Solution

The fourth proportional to 2,034.56, 3,052.92 and 878.96 is: 1,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.56 : 3,052.92 = 878.96 : x
  2. Step 2: Convert to fraction form
    2,034.56/3,052.92 = 878.96/x
  3. Step 3: Cross multiply
    2,034.56x = 3,052.92 × 878.96
  4. Step 4: Simplify right side
    2,034.56x = 2,683,394.56
  5. Step 5: Solve for x
    x = 2,683,394.56/2,034.56
  6. Step 6: Final answer
    x = 1,318.91

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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.