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Finding the Fourth Proportional to 1,513.37, 2,269.11 and 863.21

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Solution

The fourth proportional to 1,513.37, 2,269.11 and 863.21 is: 1,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.37 : 2,269.11 = 863.21 : x
  2. Step 2: Convert to fraction form
    1,513.37/2,269.11 = 863.21/x
  3. Step 3: Cross multiply
    1,513.37x = 2,269.11 × 863.21
  4. Step 4: Simplify right side
    1,513.37x = 1,958,718.44
  5. Step 5: Solve for x
    x = 1,958,718.44/1,513.37
  6. Step 6: Final answer
    x = 1,294.28

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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.