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Finding the Fourth Proportional to 2,293.68, 3,438.36 and 2,090.82

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Solution

The fourth proportional to 2,293.68, 3,438.36 and 2,090.82 is: 3,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.68 : 3,438.36 = 2,090.82 : x
  2. Step 2: Convert to fraction form
    2,293.68/3,438.36 = 2,090.82/x
  3. Step 3: Cross multiply
    2,293.68x = 3,438.36 × 2,090.82
  4. Step 4: Simplify right side
    2,293.68x = 7,188,991.86
  5. Step 5: Solve for x
    x = 7,188,991.86/2,293.68
  6. Step 6: Final answer
    x = 3,134.26

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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.