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Finding the Fourth Proportional to 2,806.74, 3,872.61 and 1,744.02

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Solution

The fourth proportional to 2,806.74, 3,872.61 and 1,744.02 is: 2,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.74 : 3,872.61 = 1,744.02 : x
  2. Step 2: Convert to fraction form
    2,806.74/3,872.61 = 1,744.02/x
  3. Step 3: Cross multiply
    2,806.74x = 3,872.61 × 1,744.02
  4. Step 4: Simplify right side
    2,806.74x = 6,753,909.29
  5. Step 5: Solve for x
    x = 6,753,909.29/2,806.74
  6. Step 6: Final answer
    x = 2,406.32

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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.