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Finding the Fourth Proportional to 2,265.92, 3,394.53 and 1,745.13

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Solution

The fourth proportional to 2,265.92, 3,394.53 and 1,745.13 is: 2,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.92 : 3,394.53 = 1,745.13 : x
  2. Step 2: Convert to fraction form
    2,265.92/3,394.53 = 1,745.13/x
  3. Step 3: Cross multiply
    2,265.92x = 3,394.53 × 1,745.13
  4. Step 4: Simplify right side
    2,265.92x = 5,923,896.14
  5. Step 5: Solve for x
    x = 5,923,896.14/2,265.92
  6. Step 6: Final answer
    x = 2,614.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.