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Finding the Fourth Proportional to 2,861.94, 3,951.38 and 2,197.59

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Solution

The fourth proportional to 2,861.94, 3,951.38 and 2,197.59 is: 3,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.94 : 3,951.38 = 2,197.59 : x
  2. Step 2: Convert to fraction form
    2,861.94/3,951.38 = 2,197.59/x
  3. Step 3: Cross multiply
    2,861.94x = 3,951.38 × 2,197.59
  4. Step 4: Simplify right side
    2,861.94x = 8,683,502.19
  5. Step 5: Solve for x
    x = 8,683,502.19/2,861.94
  6. Step 6: Final answer
    x = 3,034.13

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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.