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Finding the Fourth Proportional to 2,770.48, 3,819.72 and 2,267.20

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Solution

The fourth proportional to 2,770.48, 3,819.72 and 2,267.20 is: 3,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.48 : 3,819.72 = 2,267.20 : x
  2. Step 2: Convert to fraction form
    2,770.48/3,819.72 = 2,267.20/x
  3. Step 3: Cross multiply
    2,770.48x = 3,819.72 × 2,267.20
  4. Step 4: Simplify right side
    2,770.48x = 8,660,069.18
  5. Step 5: Solve for x
    x = 8,660,069.18/2,770.48
  6. Step 6: Final answer
    x = 3,125.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.