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Finding the Fourth Proportional to 1,732.44, 2,391.84 and 1,338.72

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Solution

The fourth proportional to 1,732.44, 2,391.84 and 1,338.72 is: 1,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.44 : 2,391.84 = 1,338.72 : x
  2. Step 2: Convert to fraction form
    1,732.44/2,391.84 = 1,338.72/x
  3. Step 3: Cross multiply
    1,732.44x = 2,391.84 × 1,338.72
  4. Step 4: Simplify right side
    1,732.44x = 3,202,004.04
  5. Step 5: Solve for x
    x = 3,202,004.04/1,732.44
  6. Step 6: Final answer
    x = 1,848.26

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