Home / 2,274.78-3,412.68-1,042.38

Finding the Fourth Proportional to 2,274.78, 3,412.68 and 1,042.38

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Solution

The fourth proportional to 2,274.78, 3,412.68 and 1,042.38 is: 1,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.78 : 3,412.68 = 1,042.38 : x
  2. Step 2: Convert to fraction form
    2,274.78/3,412.68 = 1,042.38/x
  3. Step 3: Cross multiply
    2,274.78x = 3,412.68 × 1,042.38
  4. Step 4: Simplify right side
    2,274.78x = 3,557,309.38
  5. Step 5: Solve for x
    x = 3,557,309.38/2,274.78
  6. Step 6: Final answer
    x = 1,563.80

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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.