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Finding the Fourth Proportional to 2,308.14, 3,463.62 and 1,213.29

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Solution

The fourth proportional to 2,308.14, 3,463.62 and 1,213.29 is: 1,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.14 : 3,463.62 = 1,213.29 : x
  2. Step 2: Convert to fraction form
    2,308.14/3,463.62 = 1,213.29/x
  3. Step 3: Cross multiply
    2,308.14x = 3,463.62 × 1,213.29
  4. Step 4: Simplify right side
    2,308.14x = 4,202,375.51
  5. Step 5: Solve for x
    x = 4,202,375.51/2,308.14
  6. Step 6: Final answer
    x = 1,820.68

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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.