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Finding the Fourth Proportional to 2,055.18, 3,082.51 and 574.52

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Solution

The fourth proportional to 2,055.18, 3,082.51 and 574.52 is: 861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.18 : 3,082.51 = 574.52 : x
  2. Step 2: Convert to fraction form
    2,055.18/3,082.51 = 574.52/x
  3. Step 3: Cross multiply
    2,055.18x = 3,082.51 × 574.52
  4. Step 4: Simplify right side
    2,055.18x = 1,770,963.65
  5. Step 5: Solve for x
    x = 1,770,963.65/2,055.18
  6. Step 6: Final answer
    x = 861.71

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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.