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Finding the Fourth Proportional to 1,202.18, 1,800.05 and 1,133.09

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Solution

The fourth proportional to 1,202.18, 1,800.05 and 1,133.09 is: 1,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.18 : 1,800.05 = 1,133.09 : x
  2. Step 2: Convert to fraction form
    1,202.18/1,800.05 = 1,133.09/x
  3. Step 3: Cross multiply
    1,202.18x = 1,800.05 × 1,133.09
  4. Step 4: Simplify right side
    1,202.18x = 2,039,613.93
  5. Step 5: Solve for x
    x = 2,039,613.93/1,202.18
  6. Step 6: Final answer
    x = 1,696.59

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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.