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Finding the Fourth Proportional to 2,323.09, 3,205.86 and 1,275.16

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Solution

The fourth proportional to 2,323.09, 3,205.86 and 1,275.16 is: 1,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.09 : 3,205.86 = 1,275.16 : x
  2. Step 2: Convert to fraction form
    2,323.09/3,205.86 = 1,275.16/x
  3. Step 3: Cross multiply
    2,323.09x = 3,205.86 × 1,275.16
  4. Step 4: Simplify right side
    2,323.09x = 4,087,984.44
  5. Step 5: Solve for x
    x = 4,087,984.44/2,323.09
  6. Step 6: Final answer
    x = 1,759.72

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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.