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Finding the Fourth Proportional to 1,894.25, 2,616.26 and 1,263.75

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Solution

The fourth proportional to 1,894.25, 2,616.26 and 1,263.75 is: 1,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.25 : 2,616.26 = 1,263.75 : x
  2. Step 2: Convert to fraction form
    1,894.25/2,616.26 = 1,263.75/x
  3. Step 3: Cross multiply
    1,894.25x = 2,616.26 × 1,263.75
  4. Step 4: Simplify right side
    1,894.25x = 3,306,292.26
  5. Step 5: Solve for x
    x = 3,306,292.26/1,894.25
  6. Step 6: Final answer
    x = 1,745.44

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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.