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Finding the Fourth Proportional to 3,108.69, 4,657.41 and 1,444.28

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Solution

The fourth proportional to 3,108.69, 4,657.41 and 1,444.28 is: 2,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.69 : 4,657.41 = 1,444.28 : x
  2. Step 2: Convert to fraction form
    3,108.69/4,657.41 = 1,444.28/x
  3. Step 3: Cross multiply
    3,108.69x = 4,657.41 × 1,444.28
  4. Step 4: Simplify right side
    3,108.69x = 6,726,580.83
  5. Step 5: Solve for x
    x = 6,726,580.83/3,108.69
  6. Step 6: Final answer
    x = 2,163.80

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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.