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Finding the Fourth Proportional to 2,138.48, 3,204.96 and 1,097.60

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Solution

The fourth proportional to 2,138.48, 3,204.96 and 1,097.60 is: 1,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.48 : 3,204.96 = 1,097.60 : x
  2. Step 2: Convert to fraction form
    2,138.48/3,204.96 = 1,097.60/x
  3. Step 3: Cross multiply
    2,138.48x = 3,204.96 × 1,097.60
  4. Step 4: Simplify right side
    2,138.48x = 3,517,764.10
  5. Step 5: Solve for x
    x = 3,517,764.10/2,138.48
  6. Step 6: Final answer
    x = 1,644.98

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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.