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Finding the Fourth Proportional to 2,874.55, 4,314.86 and 1,414.73

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Solution

The fourth proportional to 2,874.55, 4,314.86 and 1,414.73 is: 2,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.55 : 4,314.86 = 1,414.73 : x
  2. Step 2: Convert to fraction form
    2,874.55/4,314.86 = 1,414.73/x
  3. Step 3: Cross multiply
    2,874.55x = 4,314.86 × 1,414.73
  4. Step 4: Simplify right side
    2,874.55x = 6,104,333.24
  5. Step 5: Solve for x
    x = 6,104,333.24/2,874.55
  6. Step 6: Final answer
    x = 2,123.58

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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.