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Finding the Fourth Proportional to 2,166.34, 3,247.24 and 1,548.21

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Solution

The fourth proportional to 2,166.34, 3,247.24 and 1,548.21 is: 2,320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.34 : 3,247.24 = 1,548.21 : x
  2. Step 2: Convert to fraction form
    2,166.34/3,247.24 = 1,548.21/x
  3. Step 3: Cross multiply
    2,166.34x = 3,247.24 × 1,548.21
  4. Step 4: Simplify right side
    2,166.34x = 5,027,409.44
  5. Step 5: Solve for x
    x = 5,027,409.44/2,166.34
  6. Step 6: Final answer
    x = 2,320.69

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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.