Home / 2,174.16-3,260.44-713.04

Finding the Fourth Proportional to 2,174.16, 3,260.44 and 713.04

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Solution

The fourth proportional to 2,174.16, 3,260.44 and 713.04 is: 1,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.16 : 3,260.44 = 713.04 : x
  2. Step 2: Convert to fraction form
    2,174.16/3,260.44 = 713.04/x
  3. Step 3: Cross multiply
    2,174.16x = 3,260.44 × 713.04
  4. Step 4: Simplify right side
    2,174.16x = 2,324,824.14
  5. Step 5: Solve for x
    x = 2,324,824.14/2,174.16
  6. Step 6: Final answer
    x = 1,069.30

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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.