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Finding the Fourth Proportional to 2,331.43, 3,495.76 and 944.06

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Solution

The fourth proportional to 2,331.43, 3,495.76 and 944.06 is: 1,415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.43 : 3,495.76 = 944.06 : x
  2. Step 2: Convert to fraction form
    2,331.43/3,495.76 = 944.06/x
  3. Step 3: Cross multiply
    2,331.43x = 3,495.76 × 944.06
  4. Step 4: Simplify right side
    2,331.43x = 3,300,187.35
  5. Step 5: Solve for x
    x = 3,300,187.35/2,331.43
  6. Step 6: Final answer
    x = 1,415.52

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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.