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Finding the Fourth Proportional to 3,170.64, 4,375.20 and 1,844.16

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Solution

The fourth proportional to 3,170.64, 4,375.20 and 1,844.16 is: 2,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.64 : 4,375.20 = 1,844.16 : x
  2. Step 2: Convert to fraction form
    3,170.64/4,375.20 = 1,844.16/x
  3. Step 3: Cross multiply
    3,170.64x = 4,375.20 × 1,844.16
  4. Step 4: Simplify right side
    3,170.64x = 8,068,568.83
  5. Step 5: Solve for x
    x = 8,068,568.83/3,170.64
  6. Step 6: Final answer
    x = 2,544.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.