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Finding the Fourth Proportional to 2,326.29, 3,489.86 and 766.38

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Solution

The fourth proportional to 2,326.29, 3,489.86 and 766.38 is: 1,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.29 : 3,489.86 = 766.38 : x
  2. Step 2: Convert to fraction form
    2,326.29/3,489.86 = 766.38/x
  3. Step 3: Cross multiply
    2,326.29x = 3,489.86 × 766.38
  4. Step 4: Simplify right side
    2,326.29x = 2,674,558.91
  5. Step 5: Solve for x
    x = 2,674,558.91/2,326.29
  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.