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Finding the Fourth Proportional to 2,517.60, 3,770.88 and 2,103.84

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Solution

The fourth proportional to 2,517.60, 3,770.88 and 2,103.84 is: 3,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.60 : 3,770.88 = 2,103.84 : x
  2. Step 2: Convert to fraction form
    2,517.60/3,770.88 = 2,103.84/x
  3. Step 3: Cross multiply
    2,517.60x = 3,770.88 × 2,103.84
  4. Step 4: Simplify right side
    2,517.60x = 7,933,328.18
  5. Step 5: Solve for x
    x = 7,933,328.18/2,517.60
  6. Step 6: Final answer
    x = 3,151.15

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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.