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Finding the Fourth Proportional to 1,618.86, 2,234.04 and 920.28

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Solution

The fourth proportional to 1,618.86, 2,234.04 and 920.28 is: 1,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.86 : 2,234.04 = 920.28 : x
  2. Step 2: Convert to fraction form
    1,618.86/2,234.04 = 920.28/x
  3. Step 3: Cross multiply
    1,618.86x = 2,234.04 × 920.28
  4. Step 4: Simplify right side
    1,618.86x = 2,055,942.33
  5. Step 5: Solve for x
    x = 2,055,942.33/1,618.86
  6. Step 6: Final answer
    x = 1,269.99

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