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Finding the Fourth Proportional to 2,042.74, 3,063.62 and 581.52

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Solution

The fourth proportional to 2,042.74, 3,063.62 and 581.52 is: 872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.74 : 3,063.62 = 581.52 : x
  2. Step 2: Convert to fraction form
    2,042.74/3,063.62 = 581.52/x
  3. Step 3: Cross multiply
    2,042.74x = 3,063.62 × 581.52
  4. Step 4: Simplify right side
    2,042.74x = 1,781,556.30
  5. Step 5: Solve for x
    x = 1,781,556.30/2,042.74
  6. Step 6: Final answer
    x = 872.14

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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.