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Finding the Fourth Proportional to 2,874.88, 4,312.20 and 1,027.24

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Solution

The fourth proportional to 2,874.88, 4,312.20 and 1,027.24 is: 1,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.88 : 4,312.20 = 1,027.24 : x
  2. Step 2: Convert to fraction form
    2,874.88/4,312.20 = 1,027.24/x
  3. Step 3: Cross multiply
    2,874.88x = 4,312.20 × 1,027.24
  4. Step 4: Simplify right side
    2,874.88x = 4,429,664.33
  5. Step 5: Solve for x
    x = 4,429,664.33/2,874.88
  6. Step 6: Final answer
    x = 1,540.82

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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.