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Finding the Fourth Proportional to 2,246.54, 3,364.56 and 2,168.66

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Solution

The fourth proportional to 2,246.54, 3,364.56 and 2,168.66 is: 3,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.54 : 3,364.56 = 2,168.66 : x
  2. Step 2: Convert to fraction form
    2,246.54/3,364.56 = 2,168.66/x
  3. Step 3: Cross multiply
    2,246.54x = 3,364.56 × 2,168.66
  4. Step 4: Simplify right side
    2,246.54x = 7,296,586.69
  5. Step 5: Solve for x
    x = 7,296,586.69/2,246.54
  6. Step 6: Final answer
    x = 3,247.92

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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.