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Finding the Fourth Proportional to 2,257.20, 3,385.77 and 613.90

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Solution

The fourth proportional to 2,257.20, 3,385.77 and 613.90 is: 920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.20 : 3,385.77 = 613.90 : x
  2. Step 2: Convert to fraction form
    2,257.20/3,385.77 = 613.90/x
  3. Step 3: Cross multiply
    2,257.20x = 3,385.77 × 613.90
  4. Step 4: Simplify right side
    2,257.20x = 2,078,524.20
  5. Step 5: Solve for x
    x = 2,078,524.20/2,257.20
  6. Step 6: Final answer
    x = 920.84

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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.