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Finding the Fourth Proportional to 2,762.54, 4,144.15 and 814.78

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Solution

The fourth proportional to 2,762.54, 4,144.15 and 814.78 is: 1,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.54 : 4,144.15 = 814.78 : x
  2. Step 2: Convert to fraction form
    2,762.54/4,144.15 = 814.78/x
  3. Step 3: Cross multiply
    2,762.54x = 4,144.15 × 814.78
  4. Step 4: Simplify right side
    2,762.54x = 3,376,549.82
  5. Step 5: Solve for x
    x = 3,376,549.82/2,762.54
  6. Step 6: Final answer
    x = 1,222.26

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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.