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Finding the Fourth Proportional to 2,326.44, 3,489.26 and 1,156.06

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Solution

The fourth proportional to 2,326.44, 3,489.26 and 1,156.06 is: 1,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.44 : 3,489.26 = 1,156.06 : x
  2. Step 2: Convert to fraction form
    2,326.44/3,489.26 = 1,156.06/x
  3. Step 3: Cross multiply
    2,326.44x = 3,489.26 × 1,156.06
  4. Step 4: Simplify right side
    2,326.44x = 4,033,793.92
  5. Step 5: Solve for x
    x = 4,033,793.92/2,326.44
  6. Step 6: Final answer
    x = 1,733.89

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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.