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Finding the Fourth Proportional to 2,031.93, 3,046.94 and 935.97

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Solution

The fourth proportional to 2,031.93, 3,046.94 and 935.97 is: 1,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.93 : 3,046.94 = 935.97 : x
  2. Step 2: Convert to fraction form
    2,031.93/3,046.94 = 935.97/x
  3. Step 3: Cross multiply
    2,031.93x = 3,046.94 × 935.97
  4. Step 4: Simplify right side
    2,031.93x = 2,851,839.75
  5. Step 5: Solve for x
    x = 2,851,839.75/2,031.93
  6. Step 6: Final answer
    x = 1,403.51

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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.