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Finding the Fourth Proportional to 2,562.57, 3,843.38 and 918.97

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Solution

The fourth proportional to 2,562.57, 3,843.38 and 918.97 is: 1,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.57 : 3,843.38 = 918.97 : x
  2. Step 2: Convert to fraction form
    2,562.57/3,843.38 = 918.97/x
  3. Step 3: Cross multiply
    2,562.57x = 3,843.38 × 918.97
  4. Step 4: Simplify right side
    2,562.57x = 3,531,943.61
  5. Step 5: Solve for x
    x = 3,531,943.61/2,562.57
  6. Step 6: Final answer
    x = 1,378.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.