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Finding the Fourth Proportional to 2,447.62, 3,667.71 and 1,654.07

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Solution

The fourth proportional to 2,447.62, 3,667.71 and 1,654.07 is: 2,478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.62 : 3,667.71 = 1,654.07 : x
  2. Step 2: Convert to fraction form
    2,447.62/3,667.71 = 1,654.07/x
  3. Step 3: Cross multiply
    2,447.62x = 3,667.71 × 1,654.07
  4. Step 4: Simplify right side
    2,447.62x = 6,066,643.62
  5. Step 5: Solve for x
    x = 6,066,643.62/2,447.62
  6. Step 6: Final answer
    x = 2,478.59

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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.