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Finding the Fourth Proportional to 1,208.81, 1,812.53 and 1,105.61

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Solution

The fourth proportional to 1,208.81, 1,812.53 and 1,105.61 is: 1,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.81 : 1,812.53 = 1,105.61 : x
  2. Step 2: Convert to fraction form
    1,208.81/1,812.53 = 1,105.61/x
  3. Step 3: Cross multiply
    1,208.81x = 1,812.53 × 1,105.61
  4. Step 4: Simplify right side
    1,208.81x = 2,003,936.70
  5. Step 5: Solve for x
    x = 2,003,936.70/1,208.81
  6. Step 6: Final answer
    x = 1,657.78

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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.