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Finding the Fourth Proportional to 1,618.62, 2,233.68 and 920.00

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Solution

The fourth proportional to 1,618.62, 2,233.68 and 920.00 is: 1,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.62 : 2,233.68 = 920.00 : x
  2. Step 2: Convert to fraction form
    1,618.62/2,233.68 = 920.00/x
  3. Step 3: Cross multiply
    1,618.62x = 2,233.68 × 920.00
  4. Step 4: Simplify right side
    1,618.62x = 2,054,974.43
  5. Step 5: Solve for x
    x = 2,054,974.43/1,618.62
  6. Step 6: Final answer
    x = 1,269.58

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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.