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Finding the Fourth Proportional to 2,196.63, 3,292.11 and 1,644.48

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Solution

The fourth proportional to 2,196.63, 3,292.11 and 1,644.48 is: 2,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.63 : 3,292.11 = 1,644.48 : x
  2. Step 2: Convert to fraction form
    2,196.63/3,292.11 = 1,644.48/x
  3. Step 3: Cross multiply
    2,196.63x = 3,292.11 × 1,644.48
  4. Step 4: Simplify right side
    2,196.63x = 5,413,809.05
  5. Step 5: Solve for x
    x = 5,413,809.05/2,196.63
  6. Step 6: Final answer
    x = 2,464.60

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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.