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Finding the Fourth Proportional to 3,105.24, 4,657.90 and 914.02

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Solution

The fourth proportional to 3,105.24, 4,657.90 and 914.02 is: 1,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.24 : 4,657.90 = 914.02 : x
  2. Step 2: Convert to fraction form
    3,105.24/4,657.90 = 914.02/x
  3. Step 3: Cross multiply
    3,105.24x = 4,657.90 × 914.02
  4. Step 4: Simplify right side
    3,105.24x = 4,257,413.76
  5. Step 5: Solve for x
    x = 4,257,413.76/3,105.24
  6. Step 6: Final answer
    x = 1,371.04

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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.