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Finding the Fourth Proportional to 2,331.21, 3,496.97 and 944.53

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Solution

The fourth proportional to 2,331.21, 3,496.97 and 944.53 is: 1,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.21 : 3,496.97 = 944.53 : x
  2. Step 2: Convert to fraction form
    2,331.21/3,496.97 = 944.53/x
  3. Step 3: Cross multiply
    2,331.21x = 3,496.97 × 944.53
  4. Step 4: Simplify right side
    2,331.21x = 3,302,986.69
  5. Step 5: Solve for x
    x = 3,302,986.69/2,331.21
  6. Step 6: Final answer
    x = 1,416.85

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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.