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Finding the Fourth Proportional to 2,274.59, 3,411.84 and 1,181.09

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Solution

The fourth proportional to 2,274.59, 3,411.84 and 1,181.09 is: 1,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.59 : 3,411.84 = 1,181.09 : x
  2. Step 2: Convert to fraction form
    2,274.59/3,411.84 = 1,181.09/x
  3. Step 3: Cross multiply
    2,274.59x = 3,411.84 × 1,181.09
  4. Step 4: Simplify right side
    2,274.59x = 4,029,690.11
  5. Step 5: Solve for x
    x = 4,029,690.11/2,274.59
  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.