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Finding the Fourth Proportional to 2,643.98, 3,965.67 and 696.34

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Solution

The fourth proportional to 2,643.98, 3,965.67 and 696.34 is: 1,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.98 : 3,965.67 = 696.34 : x
  2. Step 2: Convert to fraction form
    2,643.98/3,965.67 = 696.34/x
  3. Step 3: Cross multiply
    2,643.98x = 3,965.67 × 696.34
  4. Step 4: Simplify right side
    2,643.98x = 2,761,434.82
  5. Step 5: Solve for x
    x = 2,761,434.82/2,643.98
  6. Step 6: Final answer
    x = 1,044.42

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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.