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Finding the Fourth Proportional to 3,105.93, 4,659.67 and 914.66

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Solution

The fourth proportional to 3,105.93, 4,659.67 and 914.66 is: 1,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.93 : 4,659.67 = 914.66 : x
  2. Step 2: Convert to fraction form
    3,105.93/4,659.67 = 914.66/x
  3. Step 3: Cross multiply
    3,105.93x = 4,659.67 × 914.66
  4. Step 4: Simplify right side
    3,105.93x = 4,261,990.46
  5. Step 5: Solve for x
    x = 4,261,990.46/3,105.93
  6. Step 6: Final answer
    x = 1,372.21

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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.