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Finding the Fourth Proportional to 4,102.68, 6,157.69 and 1,912.65

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Solution

The fourth proportional to 4,102.68, 6,157.69 and 1,912.65 is: 2,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.68 : 6,157.69 = 1,912.65 : x
  2. Step 2: Convert to fraction form
    4,102.68/6,157.69 = 1,912.65/x
  3. Step 3: Cross multiply
    4,102.68x = 6,157.69 × 1,912.65
  4. Step 4: Simplify right side
    4,102.68x = 11,777,477.91
  5. Step 5: Solve for x
    x = 11,777,477.91/4,102.68
  6. Step 6: Final answer
    x = 2,870.68

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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.