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Finding the Fourth Proportional to 2,293.48, 3,181.24 and 2,214.81

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Solution

The fourth proportional to 2,293.48, 3,181.24 and 2,214.81 is: 3,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.48 : 3,181.24 = 2,214.81 : x
  2. Step 2: Convert to fraction form
    2,293.48/3,181.24 = 2,214.81/x
  3. Step 3: Cross multiply
    2,293.48x = 3,181.24 × 2,214.81
  4. Step 4: Simplify right side
    2,293.48x = 7,045,844.93
  5. Step 5: Solve for x
    x = 7,045,844.93/2,293.48
  6. Step 6: Final answer
    x = 3,072.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.