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Finding the Fourth Proportional to 2,138.76, 3,206.30 and 839.92

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Solution

The fourth proportional to 2,138.76, 3,206.30 and 839.92 is: 1,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.76 : 3,206.30 = 839.92 : x
  2. Step 2: Convert to fraction form
    2,138.76/3,206.30 = 839.92/x
  3. Step 3: Cross multiply
    2,138.76x = 3,206.30 × 839.92
  4. Step 4: Simplify right side
    2,138.76x = 2,693,035.50
  5. Step 5: Solve for x
    x = 2,693,035.50/2,138.76
  6. Step 6: Final answer
    x = 1,259.16

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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.