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Finding the Fourth Proportional to 3,105.86, 4,658.94 and 914.61

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Solution

The fourth proportional to 3,105.86, 4,658.94 and 914.61 is: 1,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.86 : 4,658.94 = 914.61 : x
  2. Step 2: Convert to fraction form
    3,105.86/4,658.94 = 914.61/x
  3. Step 3: Cross multiply
    3,105.86x = 4,658.94 × 914.61
  4. Step 4: Simplify right side
    3,105.86x = 4,261,113.11
  5. Step 5: Solve for x
    x = 4,261,113.11/3,105.86
  6. Step 6: Final answer
    x = 1,371.96

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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.