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Finding the Fourth Proportional to 2,562.02, 3,843.78 and 918.53

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Solution

The fourth proportional to 2,562.02, 3,843.78 and 918.53 is: 1,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.02 : 3,843.78 = 918.53 : x
  2. Step 2: Convert to fraction form
    2,562.02/3,843.78 = 918.53/x
  3. Step 3: Cross multiply
    2,562.02x = 3,843.78 × 918.53
  4. Step 4: Simplify right side
    2,562.02x = 3,530,608.02
  5. Step 5: Solve for x
    x = 3,530,608.02/2,562.02
  6. Step 6: Final answer
    x = 1,378.06

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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.