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Finding the Fourth Proportional to 3,441.60, 5,162.40 and 1,493.78

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Solution

The fourth proportional to 3,441.60, 5,162.40 and 1,493.78 is: 2,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.60 : 5,162.40 = 1,493.78 : x
  2. Step 2: Convert to fraction form
    3,441.60/5,162.40 = 1,493.78/x
  3. Step 3: Cross multiply
    3,441.60x = 5,162.40 × 1,493.78
  4. Step 4: Simplify right side
    3,441.60x = 7,711,464.06
  5. Step 5: Solve for x
    x = 7,711,464.06/3,441.60
  6. Step 6: Final answer
    x = 2,240.66

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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.