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Finding the Fourth Proportional to 2,679.60, 4,019.40 and 1,221.60

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Solution

The fourth proportional to 2,679.60, 4,019.40 and 1,221.60 is: 1,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.60 : 4,019.40 = 1,221.60 : x
  2. Step 2: Convert to fraction form
    2,679.60/4,019.40 = 1,221.60/x
  3. Step 3: Cross multiply
    2,679.60x = 4,019.40 × 1,221.60
  4. Step 4: Simplify right side
    2,679.60x = 4,910,099.04
  5. Step 5: Solve for x
    x = 4,910,099.04/2,679.60
  6. Step 6: Final answer
    x = 1,832.40

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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.