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Finding the Fourth Proportional to 3,294.47, 4,942.01 and 1,214.39

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Solution

The fourth proportional to 3,294.47, 4,942.01 and 1,214.39 is: 1,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.47 : 4,942.01 = 1,214.39 : x
  2. Step 2: Convert to fraction form
    3,294.47/4,942.01 = 1,214.39/x
  3. Step 3: Cross multiply
    3,294.47x = 4,942.01 × 1,214.39
  4. Step 4: Simplify right side
    3,294.47x = 6,001,542.91
  5. Step 5: Solve for x
    x = 6,001,542.91/3,294.47
  6. Step 6: Final answer
    x = 1,821.70

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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.