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Finding the Fourth Proportional to 2,642.42, 3,964.09 and 1,181.69

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Solution

The fourth proportional to 2,642.42, 3,964.09 and 1,181.69 is: 1,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.42 : 3,964.09 = 1,181.69 : x
  2. Step 2: Convert to fraction form
    2,642.42/3,964.09 = 1,181.69/x
  3. Step 3: Cross multiply
    2,642.42x = 3,964.09 × 1,181.69
  4. Step 4: Simplify right side
    2,642.42x = 4,684,319.82
  5. Step 5: Solve for x
    x = 4,684,319.82/2,642.42
  6. Step 6: Final answer
    x = 1,772.74

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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.