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Finding the Fourth Proportional to 2,376.26, 3,561.79 and 814.78

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Solution

The fourth proportional to 2,376.26, 3,561.79 and 814.78 is: 1,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.26 : 3,561.79 = 814.78 : x
  2. Step 2: Convert to fraction form
    2,376.26/3,561.79 = 814.78/x
  3. Step 3: Cross multiply
    2,376.26x = 3,561.79 × 814.78
  4. Step 4: Simplify right side
    2,376.26x = 2,902,075.26
  5. Step 5: Solve for x
    x = 2,902,075.26/2,376.26
  6. Step 6: Final answer
    x = 1,221.28

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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.