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Finding the Fourth Proportional to 3,014.54, 4,524.56 and 2,096

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Solution

The fourth proportional to 3,014.54, 4,524.56 and 2,096 is: 3,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.54 : 4,524.56 = 2,096 : x
  2. Step 2: Convert to fraction form
    3,014.54/4,524.56 = 2,096/x
  3. Step 3: Cross multiply
    3,014.54x = 4,524.56 × 2,096
  4. Step 4: Simplify right side
    3,014.54x = 9,483,477.76
  5. Step 5: Solve for x
    x = 9,483,477.76/3,014.54
  6. Step 6: Final answer
    x = 3,145.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.