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Finding the Fourth Proportional to 2,843.78, 4,264.45 and 896.13

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Solution

The fourth proportional to 2,843.78, 4,264.45 and 896.13 is: 1,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.78 : 4,264.45 = 896.13 : x
  2. Step 2: Convert to fraction form
    2,843.78/4,264.45 = 896.13/x
  3. Step 3: Cross multiply
    2,843.78x = 4,264.45 × 896.13
  4. Step 4: Simplify right side
    2,843.78x = 3,821,499.34
  5. Step 5: Solve for x
    x = 3,821,499.34/2,843.78
  6. Step 6: Final answer
    x = 1,343.81

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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.