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Finding the Fourth Proportional to 2,834.97, 3,915.25 and 2,525.75

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Solution

The fourth proportional to 2,834.97, 3,915.25 and 2,525.75 is: 3,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.97 : 3,915.25 = 2,525.75 : x
  2. Step 2: Convert to fraction form
    2,834.97/3,915.25 = 2,525.75/x
  3. Step 3: Cross multiply
    2,834.97x = 3,915.25 × 2,525.75
  4. Step 4: Simplify right side
    2,834.97x = 9,888,946.16
  5. Step 5: Solve for x
    x = 9,888,946.16/2,834.97
  6. Step 6: Final answer
    x = 3,488.20

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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.