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Finding the Fourth Proportional to 2,802, 3,868.92 and 2,215.56

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Solution

The fourth proportional to 2,802, 3,868.92 and 2,215.56 is: 3,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802 : 3,868.92 = 2,215.56 : x
  2. Step 2: Convert to fraction form
    2,802/3,868.92 = 2,215.56/x
  3. Step 3: Cross multiply
    2,802x = 3,868.92 × 2,215.56
  4. Step 4: Simplify right side
    2,802x = 8,571,824.40
  5. Step 5: Solve for x
    x = 8,571,824.40/2,802
  6. Step 6: Final answer
    x = 3,059.18

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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.