Home / 2,019.28-3,026.74-977.08

Finding the Fourth Proportional to 2,019.28, 3,026.74 and 977.08

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Solution

The fourth proportional to 2,019.28, 3,026.74 and 977.08 is: 1,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.28 : 3,026.74 = 977.08 : x
  2. Step 2: Convert to fraction form
    2,019.28/3,026.74 = 977.08/x
  3. Step 3: Cross multiply
    2,019.28x = 3,026.74 × 977.08
  4. Step 4: Simplify right side
    2,019.28x = 2,957,367.12
  5. Step 5: Solve for x
    x = 2,957,367.12/2,019.28
  6. Step 6: Final answer
    x = 1,464.57

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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.