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Finding the Fourth Proportional to 2,549.71, 3,822.82 and 883.41

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Solution

The fourth proportional to 2,549.71, 3,822.82 and 883.41 is: 1,324.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.71 : 3,822.82 = 883.41 : x
  2. Step 2: Convert to fraction form
    2,549.71/3,822.82 = 883.41/x
  3. Step 3: Cross multiply
    2,549.71x = 3,822.82 × 883.41
  4. Step 4: Simplify right side
    2,549.71x = 3,377,135.61
  5. Step 5: Solve for x
    x = 3,377,135.61/2,549.71
  6. Step 6: Final answer
    x = 1,324.52

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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.