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Finding the Fourth Proportional to 2,777.39, 3,833.21 and 1,598.23

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Solution

The fourth proportional to 2,777.39, 3,833.21 and 1,598.23 is: 2,205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.39 : 3,833.21 = 1,598.23 : x
  2. Step 2: Convert to fraction form
    2,777.39/3,833.21 = 1,598.23/x
  3. Step 3: Cross multiply
    2,777.39x = 3,833.21 × 1,598.23
  4. Step 4: Simplify right side
    2,777.39x = 6,126,324.06
  5. Step 5: Solve for x
    x = 6,126,324.06/2,777.39
  6. Step 6: Final answer
    x = 2,205.79

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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.