Home / 2,027.50-3,017.75-1,982.14

Finding the Fourth Proportional to 2,027.50, 3,017.75 and 1,982.14

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Solution

The fourth proportional to 2,027.50, 3,017.75 and 1,982.14 is: 2,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.50 : 3,017.75 = 1,982.14 : x
  2. Step 2: Convert to fraction form
    2,027.50/3,017.75 = 1,982.14/x
  3. Step 3: Cross multiply
    2,027.50x = 3,017.75 × 1,982.14
  4. Step 4: Simplify right side
    2,027.50x = 5,981,602.99
  5. Step 5: Solve for x
    x = 5,981,602.99/2,027.50
  6. Step 6: Final answer
    x = 2,950.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.