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Finding the Fourth Proportional to 2,102.23, 3,153.72 and 868.97

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Solution

The fourth proportional to 2,102.23, 3,153.72 and 868.97 is: 1,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.23 : 3,153.72 = 868.97 : x
  2. Step 2: Convert to fraction form
    2,102.23/3,153.72 = 868.97/x
  3. Step 3: Cross multiply
    2,102.23x = 3,153.72 × 868.97
  4. Step 4: Simplify right side
    2,102.23x = 2,740,472.30
  5. Step 5: Solve for x
    x = 2,740,472.30/2,102.23
  6. Step 6: Final answer
    x = 1,303.61

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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.