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Finding the Fourth Proportional to 2,865.44, 4,289.52 and 2,096.48

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Solution

The fourth proportional to 2,865.44, 4,289.52 and 2,096.48 is: 3,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.44 : 4,289.52 = 2,096.48 : x
  2. Step 2: Convert to fraction form
    2,865.44/4,289.52 = 2,096.48/x
  3. Step 3: Cross multiply
    2,865.44x = 4,289.52 × 2,096.48
  4. Step 4: Simplify right side
    2,865.44x = 8,992,892.89
  5. Step 5: Solve for x
    x = 8,992,892.89/2,865.44
  6. Step 6: Final answer
    x = 3,138.40

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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.