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Finding the Fourth Proportional to 2,042.58, 3,062.01 and 743.13

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Solution

The fourth proportional to 2,042.58, 3,062.01 and 743.13 is: 1,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.58 : 3,062.01 = 743.13 : x
  2. Step 2: Convert to fraction form
    2,042.58/3,062.01 = 743.13/x
  3. Step 3: Cross multiply
    2,042.58x = 3,062.01 × 743.13
  4. Step 4: Simplify right side
    2,042.58x = 2,275,471.49
  5. Step 5: Solve for x
    x = 2,275,471.49/2,042.58
  6. Step 6: Final answer
    x = 1,114.02

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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.