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Finding the Fourth Proportional to 2,549.49, 3,517.23 and 1,603.61

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Solution

The fourth proportional to 2,549.49, 3,517.23 and 1,603.61 is: 2,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.49 : 3,517.23 = 1,603.61 : x
  2. Step 2: Convert to fraction form
    2,549.49/3,517.23 = 1,603.61/x
  3. Step 3: Cross multiply
    2,549.49x = 3,517.23 × 1,603.61
  4. Step 4: Simplify right side
    2,549.49x = 5,640,247.61
  5. Step 5: Solve for x
    x = 5,640,247.61/2,549.49
  6. Step 6: Final answer
    x = 2,212.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.