Home / 1,535.88-2,305.62-919.86

Finding the Fourth Proportional to 1,535.88, 2,305.62 and 919.86

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Solution

The fourth proportional to 1,535.88, 2,305.62 and 919.86 is: 1,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.88 : 2,305.62 = 919.86 : x
  2. Step 2: Convert to fraction form
    1,535.88/2,305.62 = 919.86/x
  3. Step 3: Cross multiply
    1,535.88x = 2,305.62 × 919.86
  4. Step 4: Simplify right side
    1,535.88x = 2,120,847.61
  5. Step 5: Solve for x
    x = 2,120,847.61/1,535.88
  6. Step 6: Final answer
    x = 1,380.87

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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.