Home / 3,083.57-4,254.77-1,824

Finding the Fourth Proportional to 3,083.57, 4,254.77 and 1,824

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Solution

The fourth proportional to 3,083.57, 4,254.77 and 1,824 is: 2,516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.57 : 4,254.77 = 1,824 : x
  2. Step 2: Convert to fraction form
    3,083.57/4,254.77 = 1,824/x
  3. Step 3: Cross multiply
    3,083.57x = 4,254.77 × 1,824
  4. Step 4: Simplify right side
    3,083.57x = 7,760,700.48
  5. Step 5: Solve for x
    x = 7,760,700.48/3,083.57
  6. Step 6: Final answer
    x = 2,516.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.