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Finding the Fourth Proportional to 2,034.83, 3,052.29 and 574.04

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Solution

The fourth proportional to 2,034.83, 3,052.29 and 574.04 is: 861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.83 : 3,052.29 = 574.04 : x
  2. Step 2: Convert to fraction form
    2,034.83/3,052.29 = 574.04/x
  3. Step 3: Cross multiply
    2,034.83x = 3,052.29 × 574.04
  4. Step 4: Simplify right side
    2,034.83x = 1,752,136.55
  5. Step 5: Solve for x
    x = 1,752,136.55/2,034.83
  6. Step 6: Final answer
    x = 861.07

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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.