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Finding the Fourth Proportional to 3,105.14, 4,658.68 and 1,026.60

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Solution

The fourth proportional to 3,105.14, 4,658.68 and 1,026.60 is: 1,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.14 : 4,658.68 = 1,026.60 : x
  2. Step 2: Convert to fraction form
    3,105.14/4,658.68 = 1,026.60/x
  3. Step 3: Cross multiply
    3,105.14x = 4,658.68 × 1,026.60
  4. Step 4: Simplify right side
    3,105.14x = 4,782,600.89
  5. Step 5: Solve for x
    x = 4,782,600.89/3,105.14
  6. Step 6: Final answer
    x = 1,540.22

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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.