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Finding the Fourth Proportional to 4,102.68, 6,154.08 and 1,181.16

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Solution

The fourth proportional to 4,102.68, 6,154.08 and 1,181.16 is: 1,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.68 : 6,154.08 = 1,181.16 : x
  2. Step 2: Convert to fraction form
    4,102.68/6,154.08 = 1,181.16/x
  3. Step 3: Cross multiply
    4,102.68x = 6,154.08 × 1,181.16
  4. Step 4: Simplify right side
    4,102.68x = 7,268,953.13
  5. Step 5: Solve for x
    x = 7,268,953.13/4,102.68
  6. Step 6: Final answer
    x = 1,771.76

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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.