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Finding the Fourth Proportional to 2,792.68, 3,844.24 and 2,414.40

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Solution

The fourth proportional to 2,792.68, 3,844.24 and 2,414.40 is: 3,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.68 : 3,844.24 = 2,414.40 : x
  2. Step 2: Convert to fraction form
    2,792.68/3,844.24 = 2,414.40/x
  3. Step 3: Cross multiply
    2,792.68x = 3,844.24 × 2,414.40
  4. Step 4: Simplify right side
    2,792.68x = 9,281,513.83
  5. Step 5: Solve for x
    x = 9,281,513.83/2,792.68
  6. Step 6: Final answer
    x = 3,323.52

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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.