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Finding the Fourth Proportional to 3,614.67, 4,987.67 and 2,042.55

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Solution

The fourth proportional to 3,614.67, 4,987.67 and 2,042.55 is: 2,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.67 : 4,987.67 = 2,042.55 : x
  2. Step 2: Convert to fraction form
    3,614.67/4,987.67 = 2,042.55/x
  3. Step 3: Cross multiply
    3,614.67x = 4,987.67 × 2,042.55
  4. Step 4: Simplify right side
    3,614.67x = 10,187,555.15
  5. Step 5: Solve for x
    x = 10,187,555.15/3,614.67
  6. Step 6: Final answer
    x = 2,818.39

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1.5x scale

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.