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Finding the Fourth Proportional to 3,097.69, 4,646.96 and 1,149.70

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Solution

The fourth proportional to 3,097.69, 4,646.96 and 1,149.70 is: 1,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.69 : 4,646.96 = 1,149.70 : x
  2. Step 2: Convert to fraction form
    3,097.69/4,646.96 = 1,149.70/x
  3. Step 3: Cross multiply
    3,097.69x = 4,646.96 × 1,149.70
  4. Step 4: Simplify right side
    3,097.69x = 5,342,609.91
  5. Step 5: Solve for x
    x = 5,342,609.91/3,097.69
  6. Step 6: Final answer
    x = 1,724.71

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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.