Home / 1,982.14-2,972.32-1,057.52

Finding the Fourth Proportional to 1,982.14, 2,972.32 and 1,057.52

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Solution

The fourth proportional to 1,982.14, 2,972.32 and 1,057.52 is: 1,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.14 : 2,972.32 = 1,057.52 : x
  2. Step 2: Convert to fraction form
    1,982.14/2,972.32 = 1,057.52/x
  3. Step 3: Cross multiply
    1,982.14x = 2,972.32 × 1,057.52
  4. Step 4: Simplify right side
    1,982.14x = 3,143,287.85
  5. Step 5: Solve for x
    x = 3,143,287.85/1,982.14
  6. Step 6: Final answer
    x = 1,585.81

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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.