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Finding the Fourth Proportional to 2,042, 3,062.98 and 581.16

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Solution

The fourth proportional to 2,042, 3,062.98 and 581.16 is: 871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042 : 3,062.98 = 581.16 : x
  2. Step 2: Convert to fraction form
    2,042/3,062.98 = 581.16/x
  3. Step 3: Cross multiply
    2,042x = 3,062.98 × 581.16
  4. Step 4: Simplify right side
    2,042x = 1,780,081.46
  5. Step 5: Solve for x
    x = 1,780,081.46/2,042
  6. Step 6: Final answer
    x = 871.73

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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.