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Finding the Fourth Proportional to 2,331.67, 3,496.30 and 944.63

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Solution

The fourth proportional to 2,331.67, 3,496.30 and 944.63 is: 1,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.67 : 3,496.30 = 944.63 : x
  2. Step 2: Convert to fraction form
    2,331.67/3,496.30 = 944.63/x
  3. Step 3: Cross multiply
    2,331.67x = 3,496.30 × 944.63
  4. Step 4: Simplify right side
    2,331.67x = 3,302,703.14
  5. Step 5: Solve for x
    x = 3,302,703.14/2,331.67
  6. Step 6: Final answer
    x = 1,416.45

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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.