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Finding the Fourth Proportional to 2,447.64, 3,667.97 and 2,154.42

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Solution

The fourth proportional to 2,447.64, 3,667.97 and 2,154.42 is: 3,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.64 : 3,667.97 = 2,154.42 : x
  2. Step 2: Convert to fraction form
    2,447.64/3,667.97 = 2,154.42/x
  3. Step 3: Cross multiply
    2,447.64x = 3,667.97 × 2,154.42
  4. Step 4: Simplify right side
    2,447.64x = 7,902,337.16
  5. Step 5: Solve for x
    x = 7,902,337.16/2,447.64
  6. Step 6: Final answer
    x = 3,228.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.