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Finding the Fourth Proportional to 2,365.58, 3,550.56 and 1,196.41

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Solution

The fourth proportional to 2,365.58, 3,550.56 and 1,196.41 is: 1,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.58 : 3,550.56 = 1,196.41 : x
  2. Step 2: Convert to fraction form
    2,365.58/3,550.56 = 1,196.41/x
  3. Step 3: Cross multiply
    2,365.58x = 3,550.56 × 1,196.41
  4. Step 4: Simplify right side
    2,365.58x = 4,247,901.75
  5. Step 5: Solve for x
    x = 4,247,901.75/2,365.58
  6. Step 6: Final answer
    x = 1,795.71

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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.