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Finding the Fourth Proportional to 2,034.02, 3,052.24 and 879.78

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Solution

The fourth proportional to 2,034.02, 3,052.24 and 879.78 is: 1,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.02 : 3,052.24 = 879.78 : x
  2. Step 2: Convert to fraction form
    2,034.02/3,052.24 = 879.78/x
  3. Step 3: Cross multiply
    2,034.02x = 3,052.24 × 879.78
  4. Step 4: Simplify right side
    2,034.02x = 2,685,299.71
  5. Step 5: Solve for x
    x = 2,685,299.71/2,034.02
  6. Step 6: Final answer
    x = 1,320.19

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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.