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Finding the Fourth Proportional to 1,963.17, 2,709.36 and 1,216.98

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Solution

The fourth proportional to 1,963.17, 2,709.36 and 1,216.98 is: 1,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.17 : 2,709.36 = 1,216.98 : x
  2. Step 2: Convert to fraction form
    1,963.17/2,709.36 = 1,216.98/x
  3. Step 3: Cross multiply
    1,963.17x = 2,709.36 × 1,216.98
  4. Step 4: Simplify right side
    1,963.17x = 3,297,236.93
  5. Step 5: Solve for x
    x = 3,297,236.93/1,963.17
  6. Step 6: Final answer
    x = 1,679.55

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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.