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Finding the Fourth Proportional to 2,400.72, 3,306.36 and 2,069.04

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Solution

The fourth proportional to 2,400.72, 3,306.36 and 2,069.04 is: 2,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.72 : 3,306.36 = 2,069.04 : x
  2. Step 2: Convert to fraction form
    2,400.72/3,306.36 = 2,069.04/x
  3. Step 3: Cross multiply
    2,400.72x = 3,306.36 × 2,069.04
  4. Step 4: Simplify right side
    2,400.72x = 6,840,991.09
  5. Step 5: Solve for x
    x = 6,840,991.09/2,400.72
  6. Step 6: Final answer
    x = 2,849.56

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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.