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Finding the Fourth Proportional to 2,414.38, 3,622.12 and 875.38

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Solution

The fourth proportional to 2,414.38, 3,622.12 and 875.38 is: 1,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.38 : 3,622.12 = 875.38 : x
  2. Step 2: Convert to fraction form
    2,414.38/3,622.12 = 875.38/x
  3. Step 3: Cross multiply
    2,414.38x = 3,622.12 × 875.38
  4. Step 4: Simplify right side
    2,414.38x = 3,170,731.41
  5. Step 5: Solve for x
    x = 3,170,731.41/2,414.38
  6. Step 6: Final answer
    x = 1,313.27

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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.