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Finding the Fourth Proportional to 4,102.69, 6,154.31 and 1,181.02

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Solution

The fourth proportional to 4,102.69, 6,154.31 and 1,181.02 is: 1,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.69 : 6,154.31 = 1,181.02 : x
  2. Step 2: Convert to fraction form
    4,102.69/6,154.31 = 1,181.02/x
  3. Step 3: Cross multiply
    4,102.69x = 6,154.31 × 1,181.02
  4. Step 4: Simplify right side
    4,102.69x = 7,268,357.29
  5. Step 5: Solve for x
    x = 7,268,357.29/4,102.69
  6. Step 6: Final answer
    x = 1,771.61

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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.