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Finding the Fourth Proportional to 2,914.52, 4,361.24 and 2,508.54

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Solution

The fourth proportional to 2,914.52, 4,361.24 and 2,508.54 is: 3,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.52 : 4,361.24 = 2,508.54 : x
  2. Step 2: Convert to fraction form
    2,914.52/4,361.24 = 2,508.54/x
  3. Step 3: Cross multiply
    2,914.52x = 4,361.24 × 2,508.54
  4. Step 4: Simplify right side
    2,914.52x = 10,940,332.45
  5. Step 5: Solve for x
    x = 10,940,332.45/2,914.52
  6. Step 6: Final answer
    x = 3,753.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.