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Finding the Fourth Proportional to 3,163.77, 4,366.28 and 2,099.66

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Solution

The fourth proportional to 3,163.77, 4,366.28 and 2,099.66 is: 2,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.77 : 4,366.28 = 2,099.66 : x
  2. Step 2: Convert to fraction form
    3,163.77/4,366.28 = 2,099.66/x
  3. Step 3: Cross multiply
    3,163.77x = 4,366.28 × 2,099.66
  4. Step 4: Simplify right side
    3,163.77x = 9,167,671.14
  5. Step 5: Solve for x
    x = 9,167,671.14/3,163.77
  6. Step 6: Final answer
    x = 2,897.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.