Home / 2,306.97-3,464.09-1,822.19

Finding the Fourth Proportional to 2,306.97, 3,464.09 and 1,822.19

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Solution

The fourth proportional to 2,306.97, 3,464.09 and 1,822.19 is: 2,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.97 : 3,464.09 = 1,822.19 : x
  2. Step 2: Convert to fraction form
    2,306.97/3,464.09 = 1,822.19/x
  3. Step 3: Cross multiply
    2,306.97x = 3,464.09 × 1,822.19
  4. Step 4: Simplify right side
    2,306.97x = 6,312,203.73
  5. Step 5: Solve for x
    x = 6,312,203.73/2,306.97
  6. Step 6: Final answer
    x = 2,736.14

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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.