Home / 2,204-3,043.14-1,504.16

Finding the Fourth Proportional to 2,204, 3,043.14 and 1,504.16

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Solution

The fourth proportional to 2,204, 3,043.14 and 1,504.16 is: 2,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204 : 3,043.14 = 1,504.16 : x
  2. Step 2: Convert to fraction form
    2,204/3,043.14 = 1,504.16/x
  3. Step 3: Cross multiply
    2,204x = 3,043.14 × 1,504.16
  4. Step 4: Simplify right side
    2,204x = 4,577,369.46
  5. Step 5: Solve for x
    x = 4,577,369.46/2,204
  6. Step 6: Final answer
    x = 2,076.85

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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.