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Finding the Fourth Proportional to 4,120, 6,181.08 and 1,811.68

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Solution

The fourth proportional to 4,120, 6,181.08 and 1,811.68 is: 2,717.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120 : 6,181.08 = 1,811.68 : x
  2. Step 2: Convert to fraction form
    4,120/6,181.08 = 1,811.68/x
  3. Step 3: Cross multiply
    4,120x = 6,181.08 × 1,811.68
  4. Step 4: Simplify right side
    4,120x = 11,198,139.01
  5. Step 5: Solve for x
    x = 11,198,139.01/4,120
  6. Step 6: Final answer
    x = 2,717.99

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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.