Home / 2,284.38-3,426.49-967.78

Finding the Fourth Proportional to 2,284.38, 3,426.49 and 967.78

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Solution

The fourth proportional to 2,284.38, 3,426.49 and 967.78 is: 1,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.38 : 3,426.49 = 967.78 : x
  2. Step 2: Convert to fraction form
    2,284.38/3,426.49 = 967.78/x
  3. Step 3: Cross multiply
    2,284.38x = 3,426.49 × 967.78
  4. Step 4: Simplify right side
    2,284.38x = 3,316,081.14
  5. Step 5: Solve for x
    x = 3,316,081.14/2,284.38
  6. Step 6: Final answer
    x = 1,451.64

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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.