Home / 2,016.74-3,021.66-977.24

Finding the Fourth Proportional to 2,016.74, 3,021.66 and 977.24

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Solution

The fourth proportional to 2,016.74, 3,021.66 and 977.24 is: 1,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.74 : 3,021.66 = 977.24 : x
  2. Step 2: Convert to fraction form
    2,016.74/3,021.66 = 977.24/x
  3. Step 3: Cross multiply
    2,016.74x = 3,021.66 × 977.24
  4. Step 4: Simplify right side
    2,016.74x = 2,952,887.02
  5. Step 5: Solve for x
    x = 2,952,887.02/2,016.74
  6. Step 6: Final answer
    x = 1,464.19

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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.