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Finding the Fourth Proportional to 2,169.64, 3,254.46 and 1,195.21

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Solution

The fourth proportional to 2,169.64, 3,254.46 and 1,195.21 is: 1,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.64 : 3,254.46 = 1,195.21 : x
  2. Step 2: Convert to fraction form
    2,169.64/3,254.46 = 1,195.21/x
  3. Step 3: Cross multiply
    2,169.64x = 3,254.46 × 1,195.21
  4. Step 4: Simplify right side
    2,169.64x = 3,889,763.14
  5. Step 5: Solve for x
    x = 3,889,763.14/2,169.64
  6. Step 6: Final answer
    x = 1,792.82

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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.