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Finding the Fourth Proportional to 2,041.26, 3,063.11 and 742.83

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Solution

The fourth proportional to 2,041.26, 3,063.11 and 742.83 is: 1,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.26 : 3,063.11 = 742.83 : x
  2. Step 2: Convert to fraction form
    2,041.26/3,063.11 = 742.83/x
  3. Step 3: Cross multiply
    2,041.26x = 3,063.11 × 742.83
  4. Step 4: Simplify right side
    2,041.26x = 2,275,366.29
  5. Step 5: Solve for x
    x = 2,275,366.29/2,041.26
  6. Step 6: Final answer
    x = 1,114.69

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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.