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Finding the Fourth Proportional to 2,164.19, 3,241.22 and 1,065.02

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Solution

The fourth proportional to 2,164.19, 3,241.22 and 1,065.02 is: 1,595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.19 : 3,241.22 = 1,065.02 : x
  2. Step 2: Convert to fraction form
    2,164.19/3,241.22 = 1,065.02/x
  3. Step 3: Cross multiply
    2,164.19x = 3,241.22 × 1,065.02
  4. Step 4: Simplify right side
    2,164.19x = 3,451,942.59
  5. Step 5: Solve for x
    x = 3,451,942.59/2,164.19
  6. Step 6: Final answer
    x = 1,595.03

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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.