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Finding the Fourth Proportional to 3,144.61, 4,716.96 and 1,196.92

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Solution

The fourth proportional to 3,144.61, 4,716.96 and 1,196.92 is: 1,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.61 : 4,716.96 = 1,196.92 : x
  2. Step 2: Convert to fraction form
    3,144.61/4,716.96 = 1,196.92/x
  3. Step 3: Cross multiply
    3,144.61x = 4,716.96 × 1,196.92
  4. Step 4: Simplify right side
    3,144.61x = 5,645,823.76
  5. Step 5: Solve for x
    x = 5,645,823.76/3,144.61
  6. Step 6: Final answer
    x = 1,795.40

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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.