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Finding the Fourth Proportional to 2,106.36, 2,906.80 and 1,162.24

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Solution

The fourth proportional to 2,106.36, 2,906.80 and 1,162.24 is: 1,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.36 : 2,906.80 = 1,162.24 : x
  2. Step 2: Convert to fraction form
    2,106.36/2,906.80 = 1,162.24/x
  3. Step 3: Cross multiply
    2,106.36x = 2,906.80 × 1,162.24
  4. Step 4: Simplify right side
    2,106.36x = 3,378,399.23
  5. Step 5: Solve for x
    x = 3,378,399.23/2,106.36
  6. Step 6: Final answer
    x = 1,603.90

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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.