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Finding the Fourth Proportional to 2,449.62, 3,667.12 and 2,362.14

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Solution

The fourth proportional to 2,449.62, 3,667.12 and 2,362.14 is: 3,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.62 : 3,667.12 = 2,362.14 : x
  2. Step 2: Convert to fraction form
    2,449.62/3,667.12 = 2,362.14/x
  3. Step 3: Cross multiply
    2,449.62x = 3,667.12 × 2,362.14
  4. Step 4: Simplify right side
    2,449.62x = 8,662,250.84
  5. Step 5: Solve for x
    x = 8,662,250.84/2,449.62
  6. Step 6: Final answer
    x = 3,536.16

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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.