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Finding the Fourth Proportional to 2,662.16, 3,669 and 2,166.44

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Solution

The fourth proportional to 2,662.16, 3,669 and 2,166.44 is: 2,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.16 : 3,669 = 2,166.44 : x
  2. Step 2: Convert to fraction form
    2,662.16/3,669 = 2,166.44/x
  3. Step 3: Cross multiply
    2,662.16x = 3,669 × 2,166.44
  4. Step 4: Simplify right side
    2,662.16x = 7,948,668.36
  5. Step 5: Solve for x
    x = 7,948,668.36/2,662.16
  6. Step 6: Final answer
    x = 2,985.80

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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.