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Finding the Fourth Proportional to 2,643.94, 3,965.57 and 696.30

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Solution

The fourth proportional to 2,643.94, 3,965.57 and 696.30 is: 1,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.94 : 3,965.57 = 696.30 : x
  2. Step 2: Convert to fraction form
    2,643.94/3,965.57 = 696.30/x
  3. Step 3: Cross multiply
    2,643.94x = 3,965.57 × 696.30
  4. Step 4: Simplify right side
    2,643.94x = 2,761,226.39
  5. Step 5: Solve for x
    x = 2,761,226.39/2,643.94
  6. Step 6: Final answer
    x = 1,044.36

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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.