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Finding the Fourth Proportional to 2,658.15, 3,667.97 and 2,029.10

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Solution

The fourth proportional to 2,658.15, 3,667.97 and 2,029.10 is: 2,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.15 : 3,667.97 = 2,029.10 : x
  2. Step 2: Convert to fraction form
    2,658.15/3,667.97 = 2,029.10/x
  3. Step 3: Cross multiply
    2,658.15x = 3,667.97 × 2,029.10
  4. Step 4: Simplify right side
    2,658.15x = 7,442,664.66
  5. Step 5: Solve for x
    x = 7,442,664.66/2,658.15
  6. Step 6: Final answer
    x = 2,799.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.