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Finding the Fourth Proportional to 2,007.09, 2,768.54 and 1,298.66

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Solution

The fourth proportional to 2,007.09, 2,768.54 and 1,298.66 is: 1,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.09 : 2,768.54 = 1,298.66 : x
  2. Step 2: Convert to fraction form
    2,007.09/2,768.54 = 1,298.66/x
  3. Step 3: Cross multiply
    2,007.09x = 2,768.54 × 1,298.66
  4. Step 4: Simplify right side
    2,007.09x = 3,595,371.82
  5. Step 5: Solve for x
    x = 3,595,371.82/2,007.09
  6. Step 6: Final answer
    x = 1,791.34

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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.