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Finding the Fourth Proportional to 2,254.58, 3,381.83 and 868.22

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Solution

The fourth proportional to 2,254.58, 3,381.83 and 868.22 is: 1,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.58 : 3,381.83 = 868.22 : x
  2. Step 2: Convert to fraction form
    2,254.58/3,381.83 = 868.22/x
  3. Step 3: Cross multiply
    2,254.58x = 3,381.83 × 868.22
  4. Step 4: Simplify right side
    2,254.58x = 2,936,151.19
  5. Step 5: Solve for x
    x = 2,936,151.19/2,254.58
  6. Step 6: Final answer
    x = 1,302.31

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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.