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Finding the Fourth Proportional to 1,661.80, 2,493.24 and 566.86

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Solution

The fourth proportional to 1,661.80, 2,493.24 and 566.86 is: 850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.80 : 2,493.24 = 566.86 : x
  2. Step 2: Convert to fraction form
    1,661.80/2,493.24 = 566.86/x
  3. Step 3: Cross multiply
    1,661.80x = 2,493.24 × 566.86
  4. Step 4: Simplify right side
    1,661.80x = 1,413,318.03
  5. Step 5: Solve for x
    x = 1,413,318.03/1,661.80
  6. Step 6: Final answer
    x = 850.47

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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.