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Finding the Fourth Proportional to 3,097.36, 4,644.42 and 1,365.04

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Solution

The fourth proportional to 3,097.36, 4,644.42 and 1,365.04 is: 2,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.36 : 4,644.42 = 1,365.04 : x
  2. Step 2: Convert to fraction form
    3,097.36/4,644.42 = 1,365.04/x
  3. Step 3: Cross multiply
    3,097.36x = 4,644.42 × 1,365.04
  4. Step 4: Simplify right side
    3,097.36x = 6,339,819.08
  5. Step 5: Solve for x
    x = 6,339,819.08/3,097.36
  6. Step 6: Final answer
    x = 2,046.85

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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.