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Finding the Fourth Proportional to 1,489.86, 2,234.06 and 449.66

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Solution

The fourth proportional to 1,489.86, 2,234.06 and 449.66 is: 674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.86 : 2,234.06 = 449.66 : x
  2. Step 2: Convert to fraction form
    1,489.86/2,234.06 = 449.66/x
  3. Step 3: Cross multiply
    1,489.86x = 2,234.06 × 449.66
  4. Step 4: Simplify right side
    1,489.86x = 1,004,570.76
  5. Step 5: Solve for x
    x = 1,004,570.76/1,489.86
  6. Step 6: Final answer
    x = 674.27

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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.