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Finding the Fourth Proportional to 1,798.38, 2,496.69 and 1,744.92

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Solution

The fourth proportional to 1,798.38, 2,496.69 and 1,744.92 is: 2,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.38 : 2,496.69 = 1,744.92 : x
  2. Step 2: Convert to fraction form
    1,798.38/2,496.69 = 1,744.92/x
  3. Step 3: Cross multiply
    1,798.38x = 2,496.69 × 1,744.92
  4. Step 4: Simplify right side
    1,798.38x = 4,356,524.31
  5. Step 5: Solve for x
    x = 4,356,524.31/1,798.38
  6. Step 6: Final answer
    x = 2,422.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.