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Finding the Fourth Proportional to 2,449.36, 3,674.04 and 1,722.19

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Solution

The fourth proportional to 2,449.36, 3,674.04 and 1,722.19 is: 2,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.36 : 3,674.04 = 1,722.19 : x
  2. Step 2: Convert to fraction form
    2,449.36/3,674.04 = 1,722.19/x
  3. Step 3: Cross multiply
    2,449.36x = 3,674.04 × 1,722.19
  4. Step 4: Simplify right side
    2,449.36x = 6,327,394.95
  5. Step 5: Solve for x
    x = 6,327,394.95/2,449.36
  6. Step 6: Final answer
    x = 2,583.29

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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.