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Finding the Fourth Proportional to 1,618.70, 2,234.02 and 1,177.05

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Solution

The fourth proportional to 1,618.70, 2,234.02 and 1,177.05 is: 1,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.70 : 2,234.02 = 1,177.05 : x
  2. Step 2: Convert to fraction form
    1,618.70/2,234.02 = 1,177.05/x
  3. Step 3: Cross multiply
    1,618.70x = 2,234.02 × 1,177.05
  4. Step 4: Simplify right side
    1,618.70x = 2,629,553.24
  5. Step 5: Solve for x
    x = 2,629,553.24/1,618.70
  6. Step 6: Final answer
    x = 1,624.48

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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.