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Finding the Fourth Proportional to 2,834.88, 3,910.77 and 1,655.25

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Solution

The fourth proportional to 2,834.88, 3,910.77 and 1,655.25 is: 2,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.88 : 3,910.77 = 1,655.25 : x
  2. Step 2: Convert to fraction form
    2,834.88/3,910.77 = 1,655.25/x
  3. Step 3: Cross multiply
    2,834.88x = 3,910.77 × 1,655.25
  4. Step 4: Simplify right side
    2,834.88x = 6,473,302.04
  5. Step 5: Solve for x
    x = 6,473,302.04/2,834.88
  6. Step 6: Final answer
    x = 2,283.45

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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.