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Finding the Fourth Proportional to 2,323.13, 3,205.91 and 1,275.17

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Solution

The fourth proportional to 2,323.13, 3,205.91 and 1,275.17 is: 1,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.13 : 3,205.91 = 1,275.17 : x
  2. Step 2: Convert to fraction form
    2,323.13/3,205.91 = 1,275.17/x
  3. Step 3: Cross multiply
    2,323.13x = 3,205.91 × 1,275.17
  4. Step 4: Simplify right side
    2,323.13x = 4,088,067.41
  5. Step 5: Solve for x
    x = 4,088,067.41/2,323.13
  6. Step 6: Final answer
    x = 1,759.73

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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.