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Finding the Fourth Proportional to 2,331.87, 3,495.38 and 944.45

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Solution

The fourth proportional to 2,331.87, 3,495.38 and 944.45 is: 1,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.87 : 3,495.38 = 944.45 : x
  2. Step 2: Convert to fraction form
    2,331.87/3,495.38 = 944.45/x
  3. Step 3: Cross multiply
    2,331.87x = 3,495.38 × 944.45
  4. Step 4: Simplify right side
    2,331.87x = 3,301,189.44
  5. Step 5: Solve for x
    x = 3,301,189.44/2,331.87
  6. Step 6: Final answer
    x = 1,415.68

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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.