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Finding the Fourth Proportional to 3,304.50, 4,953.06 and 1,662.48

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Solution

The fourth proportional to 3,304.50, 4,953.06 and 1,662.48 is: 2,491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.50 : 4,953.06 = 1,662.48 : x
  2. Step 2: Convert to fraction form
    3,304.50/4,953.06 = 1,662.48/x
  3. Step 3: Cross multiply
    3,304.50x = 4,953.06 × 1,662.48
  4. Step 4: Simplify right side
    3,304.50x = 8,234,363.19
  5. Step 5: Solve for x
    x = 8,234,363.19/3,304.50
  6. Step 6: Final answer
    x = 2,491.86

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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.