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Finding the Fourth Proportional to 2,106.41, 2,906.82 and 1,162.22

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Solution

The fourth proportional to 2,106.41, 2,906.82 and 1,162.22 is: 1,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.41 : 2,906.82 = 1,162.22 : x
  2. Step 2: Convert to fraction form
    2,106.41/2,906.82 = 1,162.22/x
  3. Step 3: Cross multiply
    2,106.41x = 2,906.82 × 1,162.22
  4. Step 4: Simplify right side
    2,106.41x = 3,378,349.81
  5. Step 5: Solve for x
    x = 3,378,349.81/2,106.41
  6. Step 6: Final answer
    x = 1,603.85

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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.