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Finding the Fourth Proportional to 2,426.26, 3,640.16 and 866.23

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Solution

The fourth proportional to 2,426.26, 3,640.16 and 866.23 is: 1,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.26 : 3,640.16 = 866.23 : x
  2. Step 2: Convert to fraction form
    2,426.26/3,640.16 = 866.23/x
  3. Step 3: Cross multiply
    2,426.26x = 3,640.16 × 866.23
  4. Step 4: Simplify right side
    2,426.26x = 3,153,222.51
  5. Step 5: Solve for x
    x = 3,153,222.51/2,426.26
  6. Step 6: Final answer
    x = 1,299.62

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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.