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Finding the Fourth Proportional to 1,885.38, 2,601.82 and 1,099.90

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Solution

The fourth proportional to 1,885.38, 2,601.82 and 1,099.90 is: 1,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.38 : 2,601.82 = 1,099.90 : x
  2. Step 2: Convert to fraction form
    1,885.38/2,601.82 = 1,099.90/x
  3. Step 3: Cross multiply
    1,885.38x = 2,601.82 × 1,099.90
  4. Step 4: Simplify right side
    1,885.38x = 2,861,741.82
  5. Step 5: Solve for x
    x = 2,861,741.82/1,885.38
  6. Step 6: Final answer
    x = 1,517.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.