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Finding the Fourth Proportional to 2,007.93, 2,768.85 and 1,729.11

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Solution

The fourth proportional to 2,007.93, 2,768.85 and 1,729.11 is: 2,384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.93 : 2,768.85 = 1,729.11 : x
  2. Step 2: Convert to fraction form
    2,007.93/2,768.85 = 1,729.11/x
  3. Step 3: Cross multiply
    2,007.93x = 2,768.85 × 1,729.11
  4. Step 4: Simplify right side
    2,007.93x = 4,787,646.22
  5. Step 5: Solve for x
    x = 4,787,646.22/2,007.93
  6. Step 6: Final answer
    x = 2,384.37

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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.