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Finding the Fourth Proportional to 2,265.44, 3,394.31 and 1,096.01

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Solution

The fourth proportional to 2,265.44, 3,394.31 and 1,096.01 is: 1,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.44 : 3,394.31 = 1,096.01 : x
  2. Step 2: Convert to fraction form
    2,265.44/3,394.31 = 1,096.01/x
  3. Step 3: Cross multiply
    2,265.44x = 3,394.31 × 1,096.01
  4. Step 4: Simplify right side
    2,265.44x = 3,720,185.37
  5. Step 5: Solve for x
    x = 3,720,185.37/2,265.44
  6. Step 6: Final answer
    x = 1,642.14

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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.