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Finding the Fourth Proportional to 2,196.82, 3,295.27 and 963.98

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Solution

The fourth proportional to 2,196.82, 3,295.27 and 963.98 is: 1,445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.82 : 3,295.27 = 963.98 : x
  2. Step 2: Convert to fraction form
    2,196.82/3,295.27 = 963.98/x
  3. Step 3: Cross multiply
    2,196.82x = 3,295.27 × 963.98
  4. Step 4: Simplify right side
    2,196.82x = 3,176,574.37
  5. Step 5: Solve for x
    x = 3,176,574.37/2,196.82
  6. Step 6: Final answer
    x = 1,445.99

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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.