Home / 1,982.30-2,972.81-1,852.88

Finding the Fourth Proportional to 1,982.30, 2,972.81 and 1,852.88

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Solution

The fourth proportional to 1,982.30, 2,972.81 and 1,852.88 is: 2,778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.30 : 2,972.81 = 1,852.88 : x
  2. Step 2: Convert to fraction form
    1,982.30/2,972.81 = 1,852.88/x
  3. Step 3: Cross multiply
    1,982.30x = 2,972.81 × 1,852.88
  4. Step 4: Simplify right side
    1,982.30x = 5,508,249.96
  5. Step 5: Solve for x
    x = 5,508,249.96/1,982.30
  6. Step 6: Final answer
    x = 2,778.72

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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.