Home / 2,019-2,786.72-1,233.71

Finding the Fourth Proportional to 2,019, 2,786.72 and 1,233.71

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Solution

The fourth proportional to 2,019, 2,786.72 and 1,233.71 is: 1,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019 : 2,786.72 = 1,233.71 : x
  2. Step 2: Convert to fraction form
    2,019/2,786.72 = 1,233.71/x
  3. Step 3: Cross multiply
    2,019x = 2,786.72 × 1,233.71
  4. Step 4: Simplify right side
    2,019x = 3,437,984.23
  5. Step 5: Solve for x
    x = 3,437,984.23/2,019
  6. Step 6: Final answer
    x = 1,702.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.