Home / 1,286.24-1,928.12-977.20

Finding the Fourth Proportional to 1,286.24, 1,928.12 and 977.20

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Solution

The fourth proportional to 1,286.24, 1,928.12 and 977.20 is: 1,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.24 : 1,928.12 = 977.20 : x
  2. Step 2: Convert to fraction form
    1,286.24/1,928.12 = 977.20/x
  3. Step 3: Cross multiply
    1,286.24x = 1,928.12 × 977.20
  4. Step 4: Simplify right side
    1,286.24x = 1,884,158.86
  5. Step 5: Solve for x
    x = 1,884,158.86/1,286.24
  6. Step 6: Final answer
    x = 1,464.86

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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.