Home / 1,982.44-2,971.46-1,006.52

Finding the Fourth Proportional to 1,982.44, 2,971.46 and 1,006.52

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Solution

The fourth proportional to 1,982.44, 2,971.46 and 1,006.52 is: 1,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.44 : 2,971.46 = 1,006.52 : x
  2. Step 2: Convert to fraction form
    1,982.44/2,971.46 = 1,006.52/x
  3. Step 3: Cross multiply
    1,982.44x = 2,971.46 × 1,006.52
  4. Step 4: Simplify right side
    1,982.44x = 2,990,833.92
  5. Step 5: Solve for x
    x = 2,990,833.92/1,982.44
  6. Step 6: Final answer
    x = 1,508.66

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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.