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Finding the Fourth Proportional to 3,143.19, 4,715.39 and 1,195.24

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Solution

The fourth proportional to 3,143.19, 4,715.39 and 1,195.24 is: 1,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.19 : 4,715.39 = 1,195.24 : x
  2. Step 2: Convert to fraction form
    3,143.19/4,715.39 = 1,195.24/x
  3. Step 3: Cross multiply
    3,143.19x = 4,715.39 × 1,195.24
  4. Step 4: Simplify right side
    3,143.19x = 5,636,022.74
  5. Step 5: Solve for x
    x = 5,636,022.74/3,143.19
  6. Step 6: Final answer
    x = 1,793.09

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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.