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Finding the Fourth Proportional to 2,391.68, 3,297.56 and 1,728.28

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Solution

The fourth proportional to 2,391.68, 3,297.56 and 1,728.28 is: 2,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.68 : 3,297.56 = 1,728.28 : x
  2. Step 2: Convert to fraction form
    2,391.68/3,297.56 = 1,728.28/x
  3. Step 3: Cross multiply
    2,391.68x = 3,297.56 × 1,728.28
  4. Step 4: Simplify right side
    2,391.68x = 5,699,107.00
  5. Step 5: Solve for x
    x = 5,699,107.00/2,391.68
  6. Step 6: Final answer
    x = 2,382.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.