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Finding the Fourth Proportional to 1,616.91, 2,231.37 and 918.27

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Solution

The fourth proportional to 1,616.91, 2,231.37 and 918.27 is: 1,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.91 : 2,231.37 = 918.27 : x
  2. Step 2: Convert to fraction form
    1,616.91/2,231.37 = 918.27/x
  3. Step 3: Cross multiply
    1,616.91x = 2,231.37 × 918.27
  4. Step 4: Simplify right side
    1,616.91x = 2,049,000.13
  5. Step 5: Solve for x
    x = 2,049,000.13/1,616.91
  6. Step 6: Final answer
    x = 1,267.23

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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.