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Finding the Fourth Proportional to 4,096.34, 6,144.48 and 1,174.65

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Solution

The fourth proportional to 4,096.34, 6,144.48 and 1,174.65 is: 1,761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.34 : 6,144.48 = 1,174.65 : x
  2. Step 2: Convert to fraction form
    4,096.34/6,144.48 = 1,174.65/x
  3. Step 3: Cross multiply
    4,096.34x = 6,144.48 × 1,174.65
  4. Step 4: Simplify right side
    4,096.34x = 7,217,613.43
  5. Step 5: Solve for x
    x = 7,217,613.43/4,096.34
  6. Step 6: Final answer
    x = 1,761.97

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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.