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Finding the Fourth Proportional to 4,120.96, 6,181.82 and 1,347.65

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Solution

The fourth proportional to 4,120.96, 6,181.82 and 1,347.65 is: 2,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.96 : 6,181.82 = 1,347.65 : x
  2. Step 2: Convert to fraction form
    4,120.96/6,181.82 = 1,347.65/x
  3. Step 3: Cross multiply
    4,120.96x = 6,181.82 × 1,347.65
  4. Step 4: Simplify right side
    4,120.96x = 8,330,914.27
  5. Step 5: Solve for x
    x = 8,330,914.27/4,120.96
  6. Step 6: Final answer
    x = 2,021.60

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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.