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Finding the Fourth Proportional to 1,166.09, 1,616.13 and 1,144.22

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Solution

The fourth proportional to 1,166.09, 1,616.13 and 1,144.22 is: 1,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.09 : 1,616.13 = 1,144.22 : x
  2. Step 2: Convert to fraction form
    1,166.09/1,616.13 = 1,144.22/x
  3. Step 3: Cross multiply
    1,166.09x = 1,616.13 × 1,144.22
  4. Step 4: Simplify right side
    1,166.09x = 1,849,208.27
  5. Step 5: Solve for x
    x = 1,849,208.27/1,166.09
  6. Step 6: Final answer
    x = 1,585.82

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.