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Finding the Fourth Proportional to 2,083.39, 3,125.08 and 850.52

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Solution

The fourth proportional to 2,083.39, 3,125.08 and 850.52 is: 1,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.39 : 3,125.08 = 850.52 : x
  2. Step 2: Convert to fraction form
    2,083.39/3,125.08 = 850.52/x
  3. Step 3: Cross multiply
    2,083.39x = 3,125.08 × 850.52
  4. Step 4: Simplify right side
    2,083.39x = 2,657,934.34
  5. Step 5: Solve for x
    x = 2,657,934.34/2,083.39
  6. Step 6: Final answer
    x = 1,275.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.