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Finding the Fourth Proportional to 2,323, 3,205.74 and 1,275.13

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Solution

The fourth proportional to 2,323, 3,205.74 and 1,275.13 is: 1,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323 : 3,205.74 = 1,275.13 : x
  2. Step 2: Convert to fraction form
    2,323/3,205.74 = 1,275.13/x
  3. Step 3: Cross multiply
    2,323x = 3,205.74 × 1,275.13
  4. Step 4: Simplify right side
    2,323x = 4,087,735.25
  5. Step 5: Solve for x
    x = 4,087,735.25/2,323
  6. Step 6: Final answer
    x = 1,759.68

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Why These Related Problems?

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