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Finding the Fourth Proportional to 2,309.86, 3,464.37 and 666

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Solution

The fourth proportional to 2,309.86, 3,464.37 and 666 is: 998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.86 : 3,464.37 = 666 : x
  2. Step 2: Convert to fraction form
    2,309.86/3,464.37 = 666/x
  3. Step 3: Cross multiply
    2,309.86x = 3,464.37 × 666
  4. Step 4: Simplify right side
    2,309.86x = 2,307,270.42
  5. Step 5: Solve for x
    x = 2,307,270.42/2,309.86
  6. Step 6: Final answer
    x = 998.88

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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.