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Finding the Fourth Proportional to 4,102.46, 6,154.10 and 1,181.19

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Solution

The fourth proportional to 4,102.46, 6,154.10 and 1,181.19 is: 1,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.46 : 6,154.10 = 1,181.19 : x
  2. Step 2: Convert to fraction form
    4,102.46/6,154.10 = 1,181.19/x
  3. Step 3: Cross multiply
    4,102.46x = 6,154.10 × 1,181.19
  4. Step 4: Simplify right side
    4,102.46x = 7,269,161.38
  5. Step 5: Solve for x
    x = 7,269,161.38/4,102.46
  6. Step 6: Final answer
    x = 1,771.90

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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.