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Finding the Fourth Proportional to 1,961.88, 2,708 and 1,263.25

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Solution

The fourth proportional to 1,961.88, 2,708 and 1,263.25 is: 1,743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.88 : 2,708 = 1,263.25 : x
  2. Step 2: Convert to fraction form
    1,961.88/2,708 = 1,263.25/x
  3. Step 3: Cross multiply
    1,961.88x = 2,708 × 1,263.25
  4. Step 4: Simplify right side
    1,961.88x = 3,420,881
  5. Step 5: Solve for x
    x = 3,420,881/1,961.88
  6. Step 6: Final answer
    x = 1,743.67

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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.