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Finding the Fourth Proportional to 2,654.11, 3,662.81 and 1,475.16

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Solution

The fourth proportional to 2,654.11, 3,662.81 and 1,475.16 is: 2,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.11 : 3,662.81 = 1,475.16 : x
  2. Step 2: Convert to fraction form
    2,654.11/3,662.81 = 1,475.16/x
  3. Step 3: Cross multiply
    2,654.11x = 3,662.81 × 1,475.16
  4. Step 4: Simplify right side
    2,654.11x = 5,403,230.80
  5. Step 5: Solve for x
    x = 5,403,230.80/2,654.11
  6. Step 6: Final answer
    x = 2,035.80

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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.