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Finding the Fourth Proportional to 2,331.44, 3,496.05 and 849.61

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Solution

The fourth proportional to 2,331.44, 3,496.05 and 849.61 is: 1,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.44 : 3,496.05 = 849.61 : x
  2. Step 2: Convert to fraction form
    2,331.44/3,496.05 = 849.61/x
  3. Step 3: Cross multiply
    2,331.44x = 3,496.05 × 849.61
  4. Step 4: Simplify right side
    2,331.44x = 2,970,283.41
  5. Step 5: Solve for x
    x = 2,970,283.41/2,331.44
  6. Step 6: Final answer
    x = 1,274.01

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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.