Home / 2,584.44-3,874-1,023.81

Finding the Fourth Proportional to 2,584.44, 3,874 and 1,023.81

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Solution

The fourth proportional to 2,584.44, 3,874 and 1,023.81 is: 1,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.44 : 3,874 = 1,023.81 : x
  2. Step 2: Convert to fraction form
    2,584.44/3,874 = 1,023.81/x
  3. Step 3: Cross multiply
    2,584.44x = 3,874 × 1,023.81
  4. Step 4: Simplify right side
    2,584.44x = 3,966,239.94
  5. Step 5: Solve for x
    x = 3,966,239.94/2,584.44
  6. Step 6: Final answer
    x = 1,534.66

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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.