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Finding the Fourth Proportional to 2,877.42, 4,311.99 and 1,414.92

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Solution

The fourth proportional to 2,877.42, 4,311.99 and 1,414.92 is: 2,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.42 : 4,311.99 = 1,414.92 : x
  2. Step 2: Convert to fraction form
    2,877.42/4,311.99 = 1,414.92/x
  3. Step 3: Cross multiply
    2,877.42x = 4,311.99 × 1,414.92
  4. Step 4: Simplify right side
    2,877.42x = 6,101,120.89
  5. Step 5: Solve for x
    x = 6,101,120.89/2,877.42
  6. Step 6: Final answer
    x = 2,120.34

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