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Finding the Fourth Proportional to 3,143.34, 4,716.81 and 1,294.20

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Solution

The fourth proportional to 3,143.34, 4,716.81 and 1,294.20 is: 1,942.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.34 : 4,716.81 = 1,294.20 : x
  2. Step 2: Convert to fraction form
    3,143.34/4,716.81 = 1,294.20/x
  3. Step 3: Cross multiply
    3,143.34x = 4,716.81 × 1,294.20
  4. Step 4: Simplify right side
    3,143.34x = 6,104,495.50
  5. Step 5: Solve for x
    x = 6,104,495.50/3,143.34
  6. Step 6: Final answer
    x = 1,942.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.