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Finding the Fourth Proportional to 2,752.27, 4,127.41 and 996.82

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Solution

The fourth proportional to 2,752.27, 4,127.41 and 996.82 is: 1,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.27 : 4,127.41 = 996.82 : x
  2. Step 2: Convert to fraction form
    2,752.27/4,127.41 = 996.82/x
  3. Step 3: Cross multiply
    2,752.27x = 4,127.41 × 996.82
  4. Step 4: Simplify right side
    2,752.27x = 4,114,275.76
  5. Step 5: Solve for x
    x = 4,114,275.76/2,752.27
  6. Step 6: Final answer
    x = 1,494.87

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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.