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Finding the Fourth Proportional to 1,733.54, 2,394.28 and 1,263.56

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Solution

The fourth proportional to 1,733.54, 2,394.28 and 1,263.56 is: 1,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.54 : 2,394.28 = 1,263.56 : x
  2. Step 2: Convert to fraction form
    1,733.54/2,394.28 = 1,263.56/x
  3. Step 3: Cross multiply
    1,733.54x = 2,394.28 × 1,263.56
  4. Step 4: Simplify right side
    1,733.54x = 3,025,316.44
  5. Step 5: Solve for x
    x = 3,025,316.44/1,733.54
  6. Step 6: Final answer
    x = 1,745.17

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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.