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Finding the Fourth Proportional to 2,489.68, 3,433.50 and 2,044.96

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Solution

The fourth proportional to 2,489.68, 3,433.50 and 2,044.96 is: 2,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.68 : 3,433.50 = 2,044.96 : x
  2. Step 2: Convert to fraction form
    2,489.68/3,433.50 = 2,044.96/x
  3. Step 3: Cross multiply
    2,489.68x = 3,433.50 × 2,044.96
  4. Step 4: Simplify right side
    2,489.68x = 7,021,370.16
  5. Step 5: Solve for x
    x = 7,021,370.16/2,489.68
  6. Step 6: Final answer
    x = 2,820.19

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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.