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Finding the Fourth Proportional to 3,310.49, 4,965.86 and 1,666.14

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Solution

The fourth proportional to 3,310.49, 4,965.86 and 1,666.14 is: 2,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.49 : 4,965.86 = 1,666.14 : x
  2. Step 2: Convert to fraction form
    3,310.49/4,965.86 = 1,666.14/x
  3. Step 3: Cross multiply
    3,310.49x = 4,965.86 × 1,666.14
  4. Step 4: Simplify right side
    3,310.49x = 8,273,809.65
  5. Step 5: Solve for x
    x = 8,273,809.65/3,310.49
  6. Step 6: Final answer
    x = 2,499.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.