Home / 2,824.97-3,898.61-1,566.16

Finding the Fourth Proportional to 2,824.97, 3,898.61 and 1,566.16

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Solution

The fourth proportional to 2,824.97, 3,898.61 and 1,566.16 is: 2,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.97 : 3,898.61 = 1,566.16 : x
  2. Step 2: Convert to fraction form
    2,824.97/3,898.61 = 1,566.16/x
  3. Step 3: Cross multiply
    2,824.97x = 3,898.61 × 1,566.16
  4. Step 4: Simplify right side
    2,824.97x = 6,105,847.04
  5. Step 5: Solve for x
    x = 6,105,847.04/2,824.97
  6. Step 6: Final answer
    x = 2,161.38

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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.