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Finding the Fourth Proportional to 3,097.92, 4,643.52 and 1,150.08

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Solution

The fourth proportional to 3,097.92, 4,643.52 and 1,150.08 is: 1,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.92 : 4,643.52 = 1,150.08 : x
  2. Step 2: Convert to fraction form
    3,097.92/4,643.52 = 1,150.08/x
  3. Step 3: Cross multiply
    3,097.92x = 4,643.52 × 1,150.08
  4. Step 4: Simplify right side
    3,097.92x = 5,340,419.48
  5. Step 5: Solve for x
    x = 5,340,419.48/3,097.92
  6. Step 6: Final answer
    x = 1,723.87

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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.