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Finding the Fourth Proportional to 2,242.81, 3,093.55 and 1,311.31

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Solution

The fourth proportional to 2,242.81, 3,093.55 and 1,311.31 is: 1,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.81 : 3,093.55 = 1,311.31 : x
  2. Step 2: Convert to fraction form
    2,242.81/3,093.55 = 1,311.31/x
  3. Step 3: Cross multiply
    2,242.81x = 3,093.55 × 1,311.31
  4. Step 4: Simplify right side
    2,242.81x = 4,056,603.05
  5. Step 5: Solve for x
    x = 4,056,603.05/2,242.81
  6. Step 6: Final answer
    x = 1,808.71

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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.