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Finding the Fourth Proportional to 2,586.73, 3,861.34 and 2,394

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Solution

The fourth proportional to 2,586.73, 3,861.34 and 2,394 is: 3,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.73 : 3,861.34 = 2,394 : x
  2. Step 2: Convert to fraction form
    2,586.73/3,861.34 = 2,394/x
  3. Step 3: Cross multiply
    2,586.73x = 3,861.34 × 2,394
  4. Step 4: Simplify right side
    2,586.73x = 9,244,047.96
  5. Step 5: Solve for x
    x = 9,244,047.96/2,586.73
  6. Step 6: Final answer
    x = 3,573.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.