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Finding the Fourth Proportional to 2,139.03, 3,209.54 and 906.75

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Solution

The fourth proportional to 2,139.03, 3,209.54 and 906.75 is: 1,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.03 : 3,209.54 = 906.75 : x
  2. Step 2: Convert to fraction form
    2,139.03/3,209.54 = 906.75/x
  3. Step 3: Cross multiply
    2,139.03x = 3,209.54 × 906.75
  4. Step 4: Simplify right side
    2,139.03x = 2,910,245.86
  5. Step 5: Solve for x
    x = 2,910,245.86/2,139.03
  6. Step 6: Final answer
    x = 1,360.54

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1.5x scale

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.