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Finding the Fourth Proportional to 2,138.84, 3,209.06 and 968.80

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Solution

The fourth proportional to 2,138.84, 3,209.06 and 968.80 is: 1,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.84 : 3,209.06 = 968.80 : x
  2. Step 2: Convert to fraction form
    2,138.84/3,209.06 = 968.80/x
  3. Step 3: Cross multiply
    2,138.84x = 3,209.06 × 968.80
  4. Step 4: Simplify right side
    2,138.84x = 3,108,937.33
  5. Step 5: Solve for x
    x = 3,108,937.33/2,138.84
  6. Step 6: Final answer
    x = 1,453.56

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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.