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Finding the Fourth Proportional to 1,396.96, 2,097.60 and 1,269.52

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Solution

The fourth proportional to 1,396.96, 2,097.60 and 1,269.52 is: 1,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.96 : 2,097.60 = 1,269.52 : x
  2. Step 2: Convert to fraction form
    1,396.96/2,097.60 = 1,269.52/x
  3. Step 3: Cross multiply
    1,396.96x = 2,097.60 × 1,269.52
  4. Step 4: Simplify right side
    1,396.96x = 2,662,945.15
  5. Step 5: Solve for x
    x = 2,662,945.15/1,396.96
  6. Step 6: Final answer
    x = 1,906.24

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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.