Home / 2,023.72-3,033.15-927.79

Finding the Fourth Proportional to 2,023.72, 3,033.15 and 927.79

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Solution

The fourth proportional to 2,023.72, 3,033.15 and 927.79 is: 1,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.72 : 3,033.15 = 927.79 : x
  2. Step 2: Convert to fraction form
    2,023.72/3,033.15 = 927.79/x
  3. Step 3: Cross multiply
    2,023.72x = 3,033.15 × 927.79
  4. Step 4: Simplify right side
    2,023.72x = 2,814,126.24
  5. Step 5: Solve for x
    x = 2,814,126.24/2,023.72
  6. Step 6: Final answer
    x = 1,390.57

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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.