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Finding the Fourth Proportional to 2,666, 4,000.62 and 2,504

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Solution

The fourth proportional to 2,666, 4,000.62 and 2,504 is: 3,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666 : 4,000.62 = 2,504 : x
  2. Step 2: Convert to fraction form
    2,666/4,000.62 = 2,504/x
  3. Step 3: Cross multiply
    2,666x = 4,000.62 × 2,504
  4. Step 4: Simplify right side
    2,666x = 10,017,552.48
  5. Step 5: Solve for x
    x = 10,017,552.48/2,666
  6. Step 6: Final answer
    x = 3,757.52

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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.