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Finding the Fourth Proportional to 4,096.96, 6,144.02 and 1,174.48

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Solution

The fourth proportional to 4,096.96, 6,144.02 and 1,174.48 is: 1,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.96 : 6,144.02 = 1,174.48 : x
  2. Step 2: Convert to fraction form
    4,096.96/6,144.02 = 1,174.48/x
  3. Step 3: Cross multiply
    4,096.96x = 6,144.02 × 1,174.48
  4. Step 4: Simplify right side
    4,096.96x = 7,216,028.61
  5. Step 5: Solve for x
    x = 7,216,028.61/4,096.96
  6. Step 6: Final answer
    x = 1,761.31

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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.