Home / 2,115.26-3,171.06-816.02

Finding the Fourth Proportional to 2,115.26, 3,171.06 and 816.02

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Solution

The fourth proportional to 2,115.26, 3,171.06 and 816.02 is: 1,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.26 : 3,171.06 = 816.02 : x
  2. Step 2: Convert to fraction form
    2,115.26/3,171.06 = 816.02/x
  3. Step 3: Cross multiply
    2,115.26x = 3,171.06 × 816.02
  4. Step 4: Simplify right side
    2,115.26x = 2,587,632.53
  5. Step 5: Solve for x
    x = 2,587,632.53/2,115.26
  6. Step 6: Final answer
    x = 1,223.32

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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.