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Finding the Fourth Proportional to 2,331.56, 3,499.36 and 945.66

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Solution

The fourth proportional to 2,331.56, 3,499.36 and 945.66 is: 1,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.56 : 3,499.36 = 945.66 : x
  2. Step 2: Convert to fraction form
    2,331.56/3,499.36 = 945.66/x
  3. Step 3: Cross multiply
    2,331.56x = 3,499.36 × 945.66
  4. Step 4: Simplify right side
    2,331.56x = 3,309,204.78
  5. Step 5: Solve for x
    x = 3,309,204.78/2,331.56
  6. Step 6: Final answer
    x = 1,419.31

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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.