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Finding the Fourth Proportional to 2,792.40, 3,853.99 and 1,614.16

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Solution

The fourth proportional to 2,792.40, 3,853.99 and 1,614.16 is: 2,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.40 : 3,853.99 = 1,614.16 : x
  2. Step 2: Convert to fraction form
    2,792.40/3,853.99 = 1,614.16/x
  3. Step 3: Cross multiply
    2,792.40x = 3,853.99 × 1,614.16
  4. Step 4: Simplify right side
    2,792.40x = 6,220,942.83
  5. Step 5: Solve for x
    x = 6,220,942.83/2,792.40
  6. Step 6: Final answer
    x = 2,227.81

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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.