Home / 2,134.90-3,202.08-674.20

Finding the Fourth Proportional to 2,134.90, 3,202.08 and 674.20

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Solution

The fourth proportional to 2,134.90, 3,202.08 and 674.20 is: 1,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.90 : 3,202.08 = 674.20 : x
  2. Step 2: Convert to fraction form
    2,134.90/3,202.08 = 674.20/x
  3. Step 3: Cross multiply
    2,134.90x = 3,202.08 × 674.20
  4. Step 4: Simplify right side
    2,134.90x = 2,158,842.34
  5. Step 5: Solve for x
    x = 2,158,842.34/2,134.90
  6. Step 6: Final answer
    x = 1,011.21

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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.