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Finding the Fourth Proportional to 2,428.26, 3,643.17 and 868.23

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Solution

The fourth proportional to 2,428.26, 3,643.17 and 868.23 is: 1,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.26 : 3,643.17 = 868.23 : x
  2. Step 2: Convert to fraction form
    2,428.26/3,643.17 = 868.23/x
  3. Step 3: Cross multiply
    2,428.26x = 3,643.17 × 868.23
  4. Step 4: Simplify right side
    2,428.26x = 3,163,109.49
  5. Step 5: Solve for x
    x = 3,163,109.49/2,428.26
  6. Step 6: Final answer
    x = 1,302.62

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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.