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Finding the Fourth Proportional to 3,430.44, 5,144.90 and 2,044.17

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Solution

The fourth proportional to 3,430.44, 5,144.90 and 2,044.17 is: 3,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.44 : 5,144.90 = 2,044.17 : x
  2. Step 2: Convert to fraction form
    3,430.44/5,144.90 = 2,044.17/x
  3. Step 3: Cross multiply
    3,430.44x = 5,144.90 × 2,044.17
  4. Step 4: Simplify right side
    3,430.44x = 10,517,040.01
  5. Step 5: Solve for x
    x = 10,517,040.01/3,430.44
  6. Step 6: Final answer
    x = 3,065.80

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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.