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Finding the Fourth Proportional to 2,580.92, 3,871.98 and 849.56

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Solution

The fourth proportional to 2,580.92, 3,871.98 and 849.56 is: 1,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.92 : 3,871.98 = 849.56 : x
  2. Step 2: Convert to fraction form
    2,580.92/3,871.98 = 849.56/x
  3. Step 3: Cross multiply
    2,580.92x = 3,871.98 × 849.56
  4. Step 4: Simplify right side
    2,580.92x = 3,289,479.33
  5. Step 5: Solve for x
    x = 3,289,479.33/2,580.92
  6. Step 6: Final answer
    x = 1,274.54

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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.