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Finding the Fourth Proportional to 2,241.74, 3,093.15 and 1,310.06

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Solution

The fourth proportional to 2,241.74, 3,093.15 and 1,310.06 is: 1,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.74 : 3,093.15 = 1,310.06 : x
  2. Step 2: Convert to fraction form
    2,241.74/3,093.15 = 1,310.06/x
  3. Step 3: Cross multiply
    2,241.74x = 3,093.15 × 1,310.06
  4. Step 4: Simplify right side
    2,241.74x = 4,052,212.09
  5. Step 5: Solve for x
    x = 4,052,212.09/2,241.74
  6. Step 6: Final answer
    x = 1,807.62

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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.