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Finding the Fourth Proportional to 2,581.30, 3,871.41 and 848.98

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Solution

The fourth proportional to 2,581.30, 3,871.41 and 848.98 is: 1,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.30 : 3,871.41 = 848.98 : x
  2. Step 2: Convert to fraction form
    2,581.30/3,871.41 = 848.98/x
  3. Step 3: Cross multiply
    2,581.30x = 3,871.41 × 848.98
  4. Step 4: Simplify right side
    2,581.30x = 3,286,749.66
  5. Step 5: Solve for x
    x = 3,286,749.66/2,581.30
  6. Step 6: Final answer
    x = 1,273.29

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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.