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Finding the Fourth Proportional to 2,105, 3,155.06 and 1,180.12

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Solution

The fourth proportional to 2,105, 3,155.06 and 1,180.12 is: 1,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105 : 3,155.06 = 1,180.12 : x
  2. Step 2: Convert to fraction form
    2,105/3,155.06 = 1,180.12/x
  3. Step 3: Cross multiply
    2,105x = 3,155.06 × 1,180.12
  4. Step 4: Simplify right side
    2,105x = 3,723,349.41
  5. Step 5: Solve for x
    x = 3,723,349.41/2,105
  6. Step 6: Final answer
    x = 1,768.81

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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.