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Finding the Fourth Proportional to 3,310.70, 4,966.04 and 1,668.62

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Solution

The fourth proportional to 3,310.70, 4,966.04 and 1,668.62 is: 2,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.70 : 4,966.04 = 1,668.62 : x
  2. Step 2: Convert to fraction form
    3,310.70/4,966.04 = 1,668.62/x
  3. Step 3: Cross multiply
    3,310.70x = 4,966.04 × 1,668.62
  4. Step 4: Simplify right side
    3,310.70x = 8,286,450.25
  5. Step 5: Solve for x
    x = 8,286,450.25/3,310.70
  6. Step 6: Final answer
    x = 2,502.93

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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.