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Finding the Fourth Proportional to 3,105.54, 4,658.31 and 2,128.68

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Solution

The fourth proportional to 3,105.54, 4,658.31 and 2,128.68 is: 3,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.54 : 4,658.31 = 2,128.68 : x
  2. Step 2: Convert to fraction form
    3,105.54/4,658.31 = 2,128.68/x
  3. Step 3: Cross multiply
    3,105.54x = 4,658.31 × 2,128.68
  4. Step 4: Simplify right side
    3,105.54x = 9,916,051.33
  5. Step 5: Solve for x
    x = 9,916,051.33/3,105.54
  6. Step 6: Final answer
    x = 3,193.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.