Home / 2,584.73-3,874.59-1,024.22

Finding the Fourth Proportional to 2,584.73, 3,874.59 and 1,024.22

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Solution

The fourth proportional to 2,584.73, 3,874.59 and 1,024.22 is: 1,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.73 : 3,874.59 = 1,024.22 : x
  2. Step 2: Convert to fraction form
    2,584.73/3,874.59 = 1,024.22/x
  3. Step 3: Cross multiply
    2,584.73x = 3,874.59 × 1,024.22
  4. Step 4: Simplify right side
    2,584.73x = 3,968,442.26
  5. Step 5: Solve for x
    x = 3,968,442.26/2,584.73
  6. Step 6: Final answer
    x = 1,535.34

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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.