Home / 2,024.41-3,035.40-982.36

Finding the Fourth Proportional to 2,024.41, 3,035.40 and 982.36

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Solution

The fourth proportional to 2,024.41, 3,035.40 and 982.36 is: 1,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.41 : 3,035.40 = 982.36 : x
  2. Step 2: Convert to fraction form
    2,024.41/3,035.40 = 982.36/x
  3. Step 3: Cross multiply
    2,024.41x = 3,035.40 × 982.36
  4. Step 4: Simplify right side
    2,024.41x = 2,981,855.54
  5. Step 5: Solve for x
    x = 2,981,855.54/2,024.41
  6. Step 6: Final answer
    x = 1,472.95

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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.