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Finding the Fourth Proportional to 1,618.89, 2,233.89 and 920.13

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Solution

The fourth proportional to 1,618.89, 2,233.89 and 920.13 is: 1,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.89 : 2,233.89 = 920.13 : x
  2. Step 2: Convert to fraction form
    1,618.89/2,233.89 = 920.13/x
  3. Step 3: Cross multiply
    1,618.89x = 2,233.89 × 920.13
  4. Step 4: Simplify right side
    1,618.89x = 2,055,469.21
  5. Step 5: Solve for x
    x = 2,055,469.21/1,618.89
  6. Step 6: Final answer
    x = 1,269.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.