Home / 2,019.08-3,027.28-977.02

Finding the Fourth Proportional to 2,019.08, 3,027.28 and 977.02

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Solution

The fourth proportional to 2,019.08, 3,027.28 and 977.02 is: 1,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.08 : 3,027.28 = 977.02 : x
  2. Step 2: Convert to fraction form
    2,019.08/3,027.28 = 977.02/x
  3. Step 3: Cross multiply
    2,019.08x = 3,027.28 × 977.02
  4. Step 4: Simplify right side
    2,019.08x = 2,957,713.11
  5. Step 5: Solve for x
    x = 2,957,713.11/2,019.08
  6. Step 6: Final answer
    x = 1,464.88

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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.