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Finding the Fourth Proportional to 2,562.71, 3,843.09 and 918.99

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Solution

The fourth proportional to 2,562.71, 3,843.09 and 918.99 is: 1,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.71 : 3,843.09 = 918.99 : x
  2. Step 2: Convert to fraction form
    2,562.71/3,843.09 = 918.99/x
  3. Step 3: Cross multiply
    2,562.71x = 3,843.09 × 918.99
  4. Step 4: Simplify right side
    2,562.71x = 3,531,761.28
  5. Step 5: Solve for x
    x = 3,531,761.28/2,562.71
  6. Step 6: Final answer
    x = 1,378.14

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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.