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Finding the Fourth Proportional to 1,729.73, 2,386.34 and 1,065.43

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Solution

The fourth proportional to 1,729.73, 2,386.34 and 1,065.43 is: 1,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.73 : 2,386.34 = 1,065.43 : x
  2. Step 2: Convert to fraction form
    1,729.73/2,386.34 = 1,065.43/x
  3. Step 3: Cross multiply
    1,729.73x = 2,386.34 × 1,065.43
  4. Step 4: Simplify right side
    1,729.73x = 2,542,478.23
  5. Step 5: Solve for x
    x = 2,542,478.23/1,729.73
  6. Step 6: Final answer
    x = 1,469.87

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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.