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Finding the Fourth Proportional to 2,326.56, 3,489.80 and 766.48

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Solution

The fourth proportional to 2,326.56, 3,489.80 and 766.48 is: 1,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.56 : 3,489.80 = 766.48 : x
  2. Step 2: Convert to fraction form
    2,326.56/3,489.80 = 766.48/x
  3. Step 3: Cross multiply
    2,326.56x = 3,489.80 × 766.48
  4. Step 4: Simplify right side
    2,326.56x = 2,674,861.90
  5. Step 5: Solve for x
    x = 2,674,861.90/2,326.56
  6. Step 6: Final answer
    x = 1,149.71

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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.