Home / 2,135.16-3,202.70-748.11

Finding the Fourth Proportional to 2,135.16, 3,202.70 and 748.11

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Solution

The fourth proportional to 2,135.16, 3,202.70 and 748.11 is: 1,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.16 : 3,202.70 = 748.11 : x
  2. Step 2: Convert to fraction form
    2,135.16/3,202.70 = 748.11/x
  3. Step 3: Cross multiply
    2,135.16x = 3,202.70 × 748.11
  4. Step 4: Simplify right side
    2,135.16x = 2,395,971.90
  5. Step 5: Solve for x
    x = 2,395,971.90/2,135.16
  6. Step 6: Final answer
    x = 1,122.15

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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.