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Finding the Fourth Proportional to 2,293.12, 3,439.20 and 754.08

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Solution

The fourth proportional to 2,293.12, 3,439.20 and 754.08 is: 1,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.12 : 3,439.20 = 754.08 : x
  2. Step 2: Convert to fraction form
    2,293.12/3,439.20 = 754.08/x
  3. Step 3: Cross multiply
    2,293.12x = 3,439.20 × 754.08
  4. Step 4: Simplify right side
    2,293.12x = 2,593,431.94
  5. Step 5: Solve for x
    x = 2,593,431.94/2,293.12
  6. Step 6: Final answer
    x = 1,130.96

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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.