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Finding the Fourth Proportional to 2,662.08, 3,670.26 and 2,181.76

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Solution

The fourth proportional to 2,662.08, 3,670.26 and 2,181.76 is: 3,008.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.08 : 3,670.26 = 2,181.76 : x
  2. Step 2: Convert to fraction form
    2,662.08/3,670.26 = 2,181.76/x
  3. Step 3: Cross multiply
    2,662.08x = 3,670.26 × 2,181.76
  4. Step 4: Simplify right side
    2,662.08x = 8,007,629.31
  5. Step 5: Solve for x
    x = 8,007,629.31/2,662.08
  6. Step 6: Final answer
    x = 3,008.04

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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.