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Finding the Fourth Proportional to 3,294.34, 4,943.34 and 1,347.91

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Solution

The fourth proportional to 3,294.34, 4,943.34 and 1,347.91 is: 2,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.34 : 4,943.34 = 1,347.91 : x
  2. Step 2: Convert to fraction form
    3,294.34/4,943.34 = 1,347.91/x
  3. Step 3: Cross multiply
    3,294.34x = 4,943.34 × 1,347.91
  4. Step 4: Simplify right side
    3,294.34x = 6,663,178.54
  5. Step 5: Solve for x
    x = 6,663,178.54/3,294.34
  6. Step 6: Final answer
    x = 2,022.61

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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.