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Finding the Fourth Proportional to 2,034.26, 3,050.19 and 800.66

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Solution

The fourth proportional to 2,034.26, 3,050.19 and 800.66 is: 1,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.26 : 3,050.19 = 800.66 : x
  2. Step 2: Convert to fraction form
    2,034.26/3,050.19 = 800.66/x
  3. Step 3: Cross multiply
    2,034.26x = 3,050.19 × 800.66
  4. Step 4: Simplify right side
    2,034.26x = 2,442,165.13
  5. Step 5: Solve for x
    x = 2,442,165.13/2,034.26
  6. Step 6: Final answer
    x = 1,200.52

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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.