Home / 2,023.12-3,033.40-852.80

Finding the Fourth Proportional to 2,023.12, 3,033.40 and 852.80

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Solution

The fourth proportional to 2,023.12, 3,033.40 and 852.80 is: 1,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.12 : 3,033.40 = 852.80 : x
  2. Step 2: Convert to fraction form
    2,023.12/3,033.40 = 852.80/x
  3. Step 3: Cross multiply
    2,023.12x = 3,033.40 × 852.80
  4. Step 4: Simplify right side
    2,023.12x = 2,586,883.52
  5. Step 5: Solve for x
    x = 2,586,883.52/2,023.12
  6. Step 6: Final answer
    x = 1,278.66

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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.