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Finding the Fourth Proportional to 3,614.75, 4,988.38 and 2,042.84

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Solution

The fourth proportional to 3,614.75, 4,988.38 and 2,042.84 is: 2,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.75 : 4,988.38 = 2,042.84 : x
  2. Step 2: Convert to fraction form
    3,614.75/4,988.38 = 2,042.84/x
  3. Step 3: Cross multiply
    3,614.75x = 4,988.38 × 2,042.84
  4. Step 4: Simplify right side
    3,614.75x = 10,190,462.20
  5. Step 5: Solve for x
    x = 10,190,462.20/3,614.75
  6. Step 6: Final answer
    x = 2,819.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.