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Finding the Fourth Proportional to 2,274.96, 3,409.92 and 2,090.43

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Solution

The fourth proportional to 2,274.96, 3,409.92 and 2,090.43 is: 3,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.96 : 3,409.92 = 2,090.43 : x
  2. Step 2: Convert to fraction form
    2,274.96/3,409.92 = 2,090.43/x
  3. Step 3: Cross multiply
    2,274.96x = 3,409.92 × 2,090.43
  4. Step 4: Simplify right side
    2,274.96x = 7,128,171.56
  5. Step 5: Solve for x
    x = 7,128,171.56/2,274.96
  6. Step 6: Final answer
    x = 3,133.32

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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.