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Finding the Fourth Proportional to 2,704.89, 4,057.71 and 949.47

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Solution

The fourth proportional to 2,704.89, 4,057.71 and 949.47 is: 1,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.89 : 4,057.71 = 949.47 : x
  2. Step 2: Convert to fraction form
    2,704.89/4,057.71 = 949.47/x
  3. Step 3: Cross multiply
    2,704.89x = 4,057.71 × 949.47
  4. Step 4: Simplify right side
    2,704.89x = 3,852,673.91
  5. Step 5: Solve for x
    x = 3,852,673.91/2,704.89
  6. Step 6: Final answer
    x = 1,424.34

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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.