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Finding the Fourth Proportional to 2,656.67, 3,667.20 and 2,282.15

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Solution

The fourth proportional to 2,656.67, 3,667.20 and 2,282.15 is: 3,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.67 : 3,667.20 = 2,282.15 : x
  2. Step 2: Convert to fraction form
    2,656.67/3,667.20 = 2,282.15/x
  3. Step 3: Cross multiply
    2,656.67x = 3,667.20 × 2,282.15
  4. Step 4: Simplify right side
    2,656.67x = 8,369,082.14
  5. Step 5: Solve for x
    x = 8,369,082.14/2,656.67
  6. Step 6: Final answer
    x = 3,150.22

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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.