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Finding the Fourth Proportional to 2,028, 2,791.08 and 1,671.06

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Solution

The fourth proportional to 2,028, 2,791.08 and 1,671.06 is: 2,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028 : 2,791.08 = 1,671.06 : x
  2. Step 2: Convert to fraction form
    2,028/2,791.08 = 1,671.06/x
  3. Step 3: Cross multiply
    2,028x = 2,791.08 × 1,671.06
  4. Step 4: Simplify right side
    2,028x = 4,664,062.14
  5. Step 5: Solve for x
    x = 4,664,062.14/2,028
  6. Step 6: Final answer
    x = 2,299.83

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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.