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Finding the Fourth Proportional to 2,874.78, 4,320.37 and 1,414.96

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Solution

The fourth proportional to 2,874.78, 4,320.37 and 1,414.96 is: 2,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.78 : 4,320.37 = 1,414.96 : x
  2. Step 2: Convert to fraction form
    2,874.78/4,320.37 = 1,414.96/x
  3. Step 3: Cross multiply
    2,874.78x = 4,320.37 × 1,414.96
  4. Step 4: Simplify right side
    2,874.78x = 6,113,141.70
  5. Step 5: Solve for x
    x = 6,113,141.70/2,874.78
  6. Step 6: Final answer
    x = 2,126.47

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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.