Home / 2,023.16-3,034.50-982.40

Finding the Fourth Proportional to 2,023.16, 3,034.50 and 982.40

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Solution

The fourth proportional to 2,023.16, 3,034.50 and 982.40 is: 1,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.16 : 3,034.50 = 982.40 : x
  2. Step 2: Convert to fraction form
    2,023.16/3,034.50 = 982.40/x
  3. Step 3: Cross multiply
    2,023.16x = 3,034.50 × 982.40
  4. Step 4: Simplify right side
    2,023.16x = 2,981,092.80
  5. Step 5: Solve for x
    x = 2,981,092.80/2,023.16
  6. Step 6: Final answer
    x = 1,473.48

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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.