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Finding the Fourth Proportional to 2,057.66, 3,072.27 and 1,764.71

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Solution

The fourth proportional to 2,057.66, 3,072.27 and 1,764.71 is: 2,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.66 : 3,072.27 = 1,764.71 : x
  2. Step 2: Convert to fraction form
    2,057.66/3,072.27 = 1,764.71/x
  3. Step 3: Cross multiply
    2,057.66x = 3,072.27 × 1,764.71
  4. Step 4: Simplify right side
    2,057.66x = 5,421,650.23
  5. Step 5: Solve for x
    x = 5,421,650.23/2,057.66
  6. Step 6: Final answer
    x = 2,634.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.