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Finding the Fourth Proportional to 2,274.10, 3,411.15 and 1,180.60

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Solution

The fourth proportional to 2,274.10, 3,411.15 and 1,180.60 is: 1,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.10 : 3,411.15 = 1,180.60 : x
  2. Step 2: Convert to fraction form
    2,274.10/3,411.15 = 1,180.60/x
  3. Step 3: Cross multiply
    2,274.10x = 3,411.15 × 1,180.60
  4. Step 4: Simplify right side
    2,274.10x = 4,027,203.69
  5. Step 5: Solve for x
    x = 4,027,203.69/2,274.10
  6. Step 6: Final answer
    x = 1,770.90

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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.