Home / 1,763.24-2,433.36-977.27

Finding the Fourth Proportional to 1,763.24, 2,433.36 and 977.27

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Solution

The fourth proportional to 1,763.24, 2,433.36 and 977.27 is: 1,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.24 : 2,433.36 = 977.27 : x
  2. Step 2: Convert to fraction form
    1,763.24/2,433.36 = 977.27/x
  3. Step 3: Cross multiply
    1,763.24x = 2,433.36 × 977.27
  4. Step 4: Simplify right side
    1,763.24x = 2,378,049.73
  5. Step 5: Solve for x
    x = 2,378,049.73/1,763.24
  6. Step 6: Final answer
    x = 1,348.68

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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.