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Finding the Fourth Proportional to 2,034.72, 3,052.13 and 573.92

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Solution

The fourth proportional to 2,034.72, 3,052.13 and 573.92 is: 860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.72 : 3,052.13 = 573.92 : x
  2. Step 2: Convert to fraction form
    2,034.72/3,052.13 = 573.92/x
  3. Step 3: Cross multiply
    2,034.72x = 3,052.13 × 573.92
  4. Step 4: Simplify right side
    2,034.72x = 1,751,660.32
  5. Step 5: Solve for x
    x = 1,751,660.32/2,034.72
  6. Step 6: Final answer
    x = 860.89

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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.