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Finding the Fourth Proportional to 2,876.85, 4,315.23 and 1,414.94

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Solution

The fourth proportional to 2,876.85, 4,315.23 and 1,414.94 is: 2,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.85 : 4,315.23 = 1,414.94 : x
  2. Step 2: Convert to fraction form
    2,876.85/4,315.23 = 1,414.94/x
  3. Step 3: Cross multiply
    2,876.85x = 4,315.23 × 1,414.94
  4. Step 4: Simplify right side
    2,876.85x = 6,105,769.96
  5. Step 5: Solve for x
    x = 6,105,769.96/2,876.85
  6. Step 6: Final answer
    x = 2,122.38

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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.