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Finding the Fourth Proportional to 2,841, 3,919.65 and 1,722.30

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Solution

The fourth proportional to 2,841, 3,919.65 and 1,722.30 is: 2,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841 : 3,919.65 = 1,722.30 : x
  2. Step 2: Convert to fraction form
    2,841/3,919.65 = 1,722.30/x
  3. Step 3: Cross multiply
    2,841x = 3,919.65 × 1,722.30
  4. Step 4: Simplify right side
    2,841x = 6,750,813.20
  5. Step 5: Solve for x
    x = 6,750,813.20/2,841
  6. Step 6: Final answer
    x = 2,376.21

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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.