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Finding the Fourth Proportional to 2,293.60, 3,438.24 and 832.36

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Solution

The fourth proportional to 2,293.60, 3,438.24 and 832.36 is: 1,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.60 : 3,438.24 = 832.36 : x
  2. Step 2: Convert to fraction form
    2,293.60/3,438.24 = 832.36/x
  3. Step 3: Cross multiply
    2,293.60x = 3,438.24 × 832.36
  4. Step 4: Simplify right side
    2,293.60x = 2,861,853.45
  5. Step 5: Solve for x
    x = 2,861,853.45/2,293.60
  6. Step 6: Final answer
    x = 1,247.76

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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.