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Finding the Fourth Proportional to 2,305.14, 3,458.32 and 661.80

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Solution

The fourth proportional to 2,305.14, 3,458.32 and 661.80 is: 992.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.14 : 3,458.32 = 661.80 : x
  2. Step 2: Convert to fraction form
    2,305.14/3,458.32 = 661.80/x
  3. Step 3: Cross multiply
    2,305.14x = 3,458.32 × 661.80
  4. Step 4: Simplify right side
    2,305.14x = 2,288,716.18
  5. Step 5: Solve for x
    x = 2,288,716.18/2,305.14
  6. Step 6: Final answer
    x = 992.88

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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.