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Finding the Fourth Proportional to 2,789.75, 3,850.04 and 1,610.90

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Solution

The fourth proportional to 2,789.75, 3,850.04 and 1,610.90 is: 2,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.75 : 3,850.04 = 1,610.90 : x
  2. Step 2: Convert to fraction form
    2,789.75/3,850.04 = 1,610.90/x
  3. Step 3: Cross multiply
    2,789.75x = 3,850.04 × 1,610.90
  4. Step 4: Simplify right side
    2,789.75x = 6,202,002.13
  5. Step 5: Solve for x
    x = 6,202,002.13/2,789.75
  6. Step 6: Final answer
    x = 2,223.14

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1.5x scale

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.