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Finding the Fourth Proportional to 2,368.08, 3,550.02 and 1,196.56

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Solution

The fourth proportional to 2,368.08, 3,550.02 and 1,196.56 is: 1,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.08 : 3,550.02 = 1,196.56 : x
  2. Step 2: Convert to fraction form
    2,368.08/3,550.02 = 1,196.56/x
  3. Step 3: Cross multiply
    2,368.08x = 3,550.02 × 1,196.56
  4. Step 4: Simplify right side
    2,368.08x = 4,247,811.93
  5. Step 5: Solve for x
    x = 4,247,811.93/2,368.08
  6. Step 6: Final answer
    x = 1,793.78

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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.