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Finding the Fourth Proportional to 2,326.41, 3,489.92 and 765.89

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Solution

The fourth proportional to 2,326.41, 3,489.92 and 765.89 is: 1,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.41 : 3,489.92 = 765.89 : x
  2. Step 2: Convert to fraction form
    2,326.41/3,489.92 = 765.89/x
  3. Step 3: Cross multiply
    2,326.41x = 3,489.92 × 765.89
  4. Step 4: Simplify right side
    2,326.41x = 2,672,873.55
  5. Step 5: Solve for x
    x = 2,672,873.55/2,326.41
  6. Step 6: Final answer
    x = 1,148.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.