Home / 2,023.66-3,033.73-982.20

Finding the Fourth Proportional to 2,023.66, 3,033.73 and 982.20

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Solution

The fourth proportional to 2,023.66, 3,033.73 and 982.20 is: 1,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.66 : 3,033.73 = 982.20 : x
  2. Step 2: Convert to fraction form
    2,023.66/3,033.73 = 982.20/x
  3. Step 3: Cross multiply
    2,023.66x = 3,033.73 × 982.20
  4. Step 4: Simplify right side
    2,023.66x = 2,979,729.61
  5. Step 5: Solve for x
    x = 2,979,729.61/2,023.66
  6. Step 6: Final answer
    x = 1,472.45

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1.5x scale

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.