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Finding the Fourth Proportional to 2,134.79, 3,202.36 and 748.09

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Solution

The fourth proportional to 2,134.79, 3,202.36 and 748.09 is: 1,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.79 : 3,202.36 = 748.09 : x
  2. Step 2: Convert to fraction form
    2,134.79/3,202.36 = 748.09/x
  3. Step 3: Cross multiply
    2,134.79x = 3,202.36 × 748.09
  4. Step 4: Simplify right side
    2,134.79x = 2,395,653.49
  5. Step 5: Solve for x
    x = 2,395,653.49/2,134.79
  6. Step 6: Final answer
    x = 1,122.20

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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.