Home / 2,306.18-3,182.36-1,422

Finding the Fourth Proportional to 2,306.18, 3,182.36 and 1,422

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Solution

The fourth proportional to 2,306.18, 3,182.36 and 1,422 is: 1,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.18 : 3,182.36 = 1,422 : x
  2. Step 2: Convert to fraction form
    2,306.18/3,182.36 = 1,422/x
  3. Step 3: Cross multiply
    2,306.18x = 3,182.36 × 1,422
  4. Step 4: Simplify right side
    2,306.18x = 4,525,308.81
  5. Step 5: Solve for x
    x = 4,525,308.81/2,306.18
  6. Step 6: Final answer
    x = 1,962.25

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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.