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Finding the Fourth Proportional to 2,247.96, 3,356.78 and 1,837.92

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Solution

The fourth proportional to 2,247.96, 3,356.78 and 1,837.92 is: 2,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.96 : 3,356.78 = 1,837.92 : x
  2. Step 2: Convert to fraction form
    2,247.96/3,356.78 = 1,837.92/x
  3. Step 3: Cross multiply
    2,247.96x = 3,356.78 × 1,837.92
  4. Step 4: Simplify right side
    2,247.96x = 6,169,493.10
  5. Step 5: Solve for x
    x = 6,169,493.10/2,247.96
  6. Step 6: Final answer
    x = 2,744.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.