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Finding the Fourth Proportional to 3,310.64, 4,965.89 and 1,666.75

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Solution

The fourth proportional to 3,310.64, 4,965.89 and 1,666.75 is: 2,500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.64 : 4,965.89 = 1,666.75 : x
  2. Step 2: Convert to fraction form
    3,310.64/4,965.89 = 1,666.75/x
  3. Step 3: Cross multiply
    3,310.64x = 4,965.89 × 1,666.75
  4. Step 4: Simplify right side
    3,310.64x = 8,276,880.58
  5. Step 5: Solve for x
    x = 8,276,880.58/3,310.64
  6. Step 6: Final answer
    x = 2,500.08

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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.