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Finding the Fourth Proportional to 1,618.05, 2,234.09 and 1,119.83

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Solution

The fourth proportional to 1,618.05, 2,234.09 and 1,119.83 is: 1,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.05 : 2,234.09 = 1,119.83 : x
  2. Step 2: Convert to fraction form
    1,618.05/2,234.09 = 1,119.83/x
  3. Step 3: Cross multiply
    1,618.05x = 2,234.09 × 1,119.83
  4. Step 4: Simplify right side
    1,618.05x = 2,501,784.24
  5. Step 5: Solve for x
    x = 2,501,784.24/1,618.05
  6. Step 6: Final answer
    x = 1,546.17

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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.