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Finding the Fourth Proportional to 2,428.24, 3,643.36 and 868.44

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Solution

The fourth proportional to 2,428.24, 3,643.36 and 868.44 is: 1,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.24 : 3,643.36 = 868.44 : x
  2. Step 2: Convert to fraction form
    2,428.24/3,643.36 = 868.44/x
  3. Step 3: Cross multiply
    2,428.24x = 3,643.36 × 868.44
  4. Step 4: Simplify right side
    2,428.24x = 3,164,039.56
  5. Step 5: Solve for x
    x = 3,164,039.56/2,428.24
  6. Step 6: Final answer
    x = 1,303.02

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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.