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Finding the Fourth Proportional to 2,876.43, 4,311.41 and 1,416.61

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Solution

The fourth proportional to 2,876.43, 4,311.41 and 1,416.61 is: 2,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.43 : 4,311.41 = 1,416.61 : x
  2. Step 2: Convert to fraction form
    2,876.43/4,311.41 = 1,416.61/x
  3. Step 3: Cross multiply
    2,876.43x = 4,311.41 × 1,416.61
  4. Step 4: Simplify right side
    2,876.43x = 6,107,568.66
  5. Step 5: Solve for x
    x = 6,107,568.66/2,876.43
  6. Step 6: Final answer
    x = 2,123.32

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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.