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Finding the Fourth Proportional to 3,164.88, 4,367.40 and 1,767.62

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Solution

The fourth proportional to 3,164.88, 4,367.40 and 1,767.62 is: 2,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.88 : 4,367.40 = 1,767.62 : x
  2. Step 2: Convert to fraction form
    3,164.88/4,367.40 = 1,767.62/x
  3. Step 3: Cross multiply
    3,164.88x = 4,367.40 × 1,767.62
  4. Step 4: Simplify right side
    3,164.88x = 7,719,903.59
  5. Step 5: Solve for x
    x = 7,719,903.59/3,164.88
  6. Step 6: Final answer
    x = 2,439.24

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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.