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Finding the Fourth Proportional to 3,096.60, 4,270.16 and 2,049

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Solution

The fourth proportional to 3,096.60, 4,270.16 and 2,049 is: 2,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.60 : 4,270.16 = 2,049 : x
  2. Step 2: Convert to fraction form
    3,096.60/4,270.16 = 2,049/x
  3. Step 3: Cross multiply
    3,096.60x = 4,270.16 × 2,049
  4. Step 4: Simplify right side
    3,096.60x = 8,749,557.84
  5. Step 5: Solve for x
    x = 8,749,557.84/3,096.60
  6. Step 6: Final answer
    x = 2,825.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.