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Finding the Fourth Proportional to 2,074.80, 3,111.96 and 613.92

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Solution

The fourth proportional to 2,074.80, 3,111.96 and 613.92 is: 920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.80 : 3,111.96 = 613.92 : x
  2. Step 2: Convert to fraction form
    2,074.80/3,111.96 = 613.92/x
  3. Step 3: Cross multiply
    2,074.80x = 3,111.96 × 613.92
  4. Step 4: Simplify right side
    2,074.80x = 1,910,494.48
  5. Step 5: Solve for x
    x = 1,910,494.48/2,074.80
  6. Step 6: Final answer
    x = 920.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.