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Finding the Fourth Proportional to 2,613.75, 3,920.63 and 1,074.75

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Solution

The fourth proportional to 2,613.75, 3,920.63 and 1,074.75 is: 1,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.75 : 3,920.63 = 1,074.75 : x
  2. Step 2: Convert to fraction form
    2,613.75/3,920.63 = 1,074.75/x
  3. Step 3: Cross multiply
    2,613.75x = 3,920.63 × 1,074.75
  4. Step 4: Simplify right side
    2,613.75x = 4,213,691.72
  5. Step 5: Solve for x
    x = 4,213,691.72/2,613.75
  6. Step 6: Final answer
    x = 1,612.13

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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.