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Finding the Fourth Proportional to 2,842.79, 3,921.66 and 2,449.13

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Solution

The fourth proportional to 2,842.79, 3,921.66 and 2,449.13 is: 3,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.79 : 3,921.66 = 2,449.13 : x
  2. Step 2: Convert to fraction form
    2,842.79/3,921.66 = 2,449.13/x
  3. Step 3: Cross multiply
    2,842.79x = 3,921.66 × 2,449.13
  4. Step 4: Simplify right side
    2,842.79x = 9,604,635.55
  5. Step 5: Solve for x
    x = 9,604,635.55/2,842.79
  6. Step 6: Final answer
    x = 3,378.60

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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.