Home / 2,023.97-3,036.14-563.13

Finding the Fourth Proportional to 2,023.97, 3,036.14 and 563.13

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Solution

The fourth proportional to 2,023.97, 3,036.14 and 563.13 is: 844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.97 : 3,036.14 = 563.13 : x
  2. Step 2: Convert to fraction form
    2,023.97/3,036.14 = 563.13/x
  3. Step 3: Cross multiply
    2,023.97x = 3,036.14 × 563.13
  4. Step 4: Simplify right side
    2,023.97x = 1,709,738.70
  5. Step 5: Solve for x
    x = 1,709,738.70/2,023.97
  6. Step 6: Final answer
    x = 844.75

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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.