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Finding the Fourth Proportional to 2,854.24, 3,936.80 and 2,414.40

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Solution

The fourth proportional to 2,854.24, 3,936.80 and 2,414.40 is: 3,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.24 : 3,936.80 = 2,414.40 : x
  2. Step 2: Convert to fraction form
    2,854.24/3,936.80 = 2,414.40/x
  3. Step 3: Cross multiply
    2,854.24x = 3,936.80 × 2,414.40
  4. Step 4: Simplify right side
    2,854.24x = 9,505,009.92
  5. Step 5: Solve for x
    x = 9,505,009.92/2,854.24
  6. Step 6: Final answer
    x = 3,330.14

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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.