Home / 1,584.24-2,380.68-1,093.92

Finding the Fourth Proportional to 1,584.24, 2,380.68 and 1,093.92

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Solution

The fourth proportional to 1,584.24, 2,380.68 and 1,093.92 is: 1,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.24 : 2,380.68 = 1,093.92 : x
  2. Step 2: Convert to fraction form
    1,584.24/2,380.68 = 1,093.92/x
  3. Step 3: Cross multiply
    1,584.24x = 2,380.68 × 1,093.92
  4. Step 4: Simplify right side
    1,584.24x = 2,604,273.47
  5. Step 5: Solve for x
    x = 2,604,273.47/1,584.24
  6. Step 6: Final answer
    x = 1,643.86

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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.