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Finding the Fourth Proportional to 2,101.68, 3,150.23 and 868.46

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Solution

The fourth proportional to 2,101.68, 3,150.23 and 868.46 is: 1,301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.68 : 3,150.23 = 868.46 : x
  2. Step 2: Convert to fraction form
    2,101.68/3,150.23 = 868.46/x
  3. Step 3: Cross multiply
    2,101.68x = 3,150.23 × 868.46
  4. Step 4: Simplify right side
    2,101.68x = 2,735,828.65
  5. Step 5: Solve for x
    x = 2,735,828.65/2,101.68
  6. Step 6: Final answer
    x = 1,301.73

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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.