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Finding the Fourth Proportional to 2,943.80, 4,394.07 and 2,749.24

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Solution

The fourth proportional to 2,943.80, 4,394.07 and 2,749.24 is: 4,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.80 : 4,394.07 = 2,749.24 : x
  2. Step 2: Convert to fraction form
    2,943.80/4,394.07 = 2,749.24/x
  3. Step 3: Cross multiply
    2,943.80x = 4,394.07 × 2,749.24
  4. Step 4: Simplify right side
    2,943.80x = 12,080,353.01
  5. Step 5: Solve for x
    x = 12,080,353.01/2,943.80
  6. Step 6: Final answer
    x = 4,103.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.