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Finding the Fourth Proportional to 2,414, 3,321.24 and 2,151.44

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Solution

The fourth proportional to 2,414, 3,321.24 and 2,151.44 is: 2,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414 : 3,321.24 = 2,151.44 : x
  2. Step 2: Convert to fraction form
    2,414/3,321.24 = 2,151.44/x
  3. Step 3: Cross multiply
    2,414x = 3,321.24 × 2,151.44
  4. Step 4: Simplify right side
    2,414x = 7,145,448.59
  5. Step 5: Solve for x
    x = 7,145,448.59/2,414
  6. Step 6: Final answer
    x = 2,960.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.