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Finding the Fourth Proportional to 3,164.63, 4,367.19 and 1,729.01

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Solution

The fourth proportional to 3,164.63, 4,367.19 and 1,729.01 is: 2,386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.63 : 4,367.19 = 1,729.01 : x
  2. Step 2: Convert to fraction form
    3,164.63/4,367.19 = 1,729.01/x
  3. Step 3: Cross multiply
    3,164.63x = 4,367.19 × 1,729.01
  4. Step 4: Simplify right side
    3,164.63x = 7,550,919.62
  5. Step 5: Solve for x
    x = 7,550,919.62/3,164.63
  6. Step 6: Final answer
    x = 2,386.04

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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.