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Finding the Fourth Proportional to 2,605.68, 3,910.82 and 1,219.76

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Solution

The fourth proportional to 2,605.68, 3,910.82 and 1,219.76 is: 1,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.68 : 3,910.82 = 1,219.76 : x
  2. Step 2: Convert to fraction form
    2,605.68/3,910.82 = 1,219.76/x
  3. Step 3: Cross multiply
    2,605.68x = 3,910.82 × 1,219.76
  4. Step 4: Simplify right side
    2,605.68x = 4,770,261.80
  5. Step 5: Solve for x
    x = 4,770,261.80/2,605.68
  6. Step 6: Final answer
    x = 1,830.72

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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.