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Finding the Fourth Proportional to 2,876.81, 4,311.97 and 1,416.98

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Solution

The fourth proportional to 2,876.81, 4,311.97 and 1,416.98 is: 2,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.81 : 4,311.97 = 1,416.98 : x
  2. Step 2: Convert to fraction form
    2,876.81/4,311.97 = 1,416.98/x
  3. Step 3: Cross multiply
    2,876.81x = 4,311.97 × 1,416.98
  4. Step 4: Simplify right side
    2,876.81x = 6,109,982.49
  5. Step 5: Solve for x
    x = 6,109,982.49/2,876.81
  6. Step 6: Final answer
    x = 2,123.88

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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.