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Finding the Fourth Proportional to 2,493.20, 3,740.61 and 850.79

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Solution

The fourth proportional to 2,493.20, 3,740.61 and 850.79 is: 1,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.20 : 3,740.61 = 850.79 : x
  2. Step 2: Convert to fraction form
    2,493.20/3,740.61 = 850.79/x
  3. Step 3: Cross multiply
    2,493.20x = 3,740.61 × 850.79
  4. Step 4: Simplify right side
    2,493.20x = 3,182,473.58
  5. Step 5: Solve for x
    x = 3,182,473.58/2,493.20
  6. Step 6: Final answer
    x = 1,276.46

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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.