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Finding the Fourth Proportional to 3,306, 4,562.28 and 1,834

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Solution

The fourth proportional to 3,306, 4,562.28 and 1,834 is: 2,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306 : 4,562.28 = 1,834 : x
  2. Step 2: Convert to fraction form
    3,306/4,562.28 = 1,834/x
  3. Step 3: Cross multiply
    3,306x = 4,562.28 × 1,834
  4. Step 4: Simplify right side
    3,306x = 8,367,221.52
  5. Step 5: Solve for x
    x = 8,367,221.52/3,306
  6. Step 6: Final answer
    x = 2,530.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.