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Finding the Fourth Proportional to 3,122.85, 4,309.30 and 1,863.81

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Solution

The fourth proportional to 3,122.85, 4,309.30 and 1,863.81 is: 2,571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.85 : 4,309.30 = 1,863.81 : x
  2. Step 2: Convert to fraction form
    3,122.85/4,309.30 = 1,863.81/x
  3. Step 3: Cross multiply
    3,122.85x = 4,309.30 × 1,863.81
  4. Step 4: Simplify right side
    3,122.85x = 8,031,718.76
  5. Step 5: Solve for x
    x = 8,031,718.76/3,122.85
  6. Step 6: Final answer
    x = 2,571.92

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