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Finding the Fourth Proportional to 2,889.20, 4,331.14 and 940.40

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Solution

The fourth proportional to 2,889.20, 4,331.14 and 940.40 is: 1,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.20 : 4,331.14 = 940.40 : x
  2. Step 2: Convert to fraction form
    2,889.20/4,331.14 = 940.40/x
  3. Step 3: Cross multiply
    2,889.20x = 4,331.14 × 940.40
  4. Step 4: Simplify right side
    2,889.20x = 4,073,004.06
  5. Step 5: Solve for x
    x = 4,073,004.06/2,889.20
  6. Step 6: Final answer
    x = 1,409.73

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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.