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Finding the Fourth Proportional to 1,638.24, 2,447.22 and 1,314.24

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Solution

The fourth proportional to 1,638.24, 2,447.22 and 1,314.24 is: 1,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.24 : 2,447.22 = 1,314.24 : x
  2. Step 2: Convert to fraction form
    1,638.24/2,447.22 = 1,314.24/x
  3. Step 3: Cross multiply
    1,638.24x = 2,447.22 × 1,314.24
  4. Step 4: Simplify right side
    1,638.24x = 3,216,234.41
  5. Step 5: Solve for x
    x = 3,216,234.41/1,638.24
  6. Step 6: Final answer
    x = 1,963.23

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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.