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Finding the Fourth Proportional to 2,074.62, 3,111.95 and 613.78

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Solution

The fourth proportional to 2,074.62, 3,111.95 and 613.78 is: 920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.62 : 3,111.95 = 613.78 : x
  2. Step 2: Convert to fraction form
    2,074.62/3,111.95 = 613.78/x
  3. Step 3: Cross multiply
    2,074.62x = 3,111.95 × 613.78
  4. Step 4: Simplify right side
    2,074.62x = 1,910,052.67
  5. Step 5: Solve for x
    x = 1,910,052.67/2,074.62
  6. Step 6: Final answer
    x = 920.68

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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.