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Finding the Fourth Proportional to 2,196.30, 3,295.34 and 897.90

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Solution

The fourth proportional to 2,196.30, 3,295.34 and 897.90 is: 1,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.30 : 3,295.34 = 897.90 : x
  2. Step 2: Convert to fraction form
    2,196.30/3,295.34 = 897.90/x
  3. Step 3: Cross multiply
    2,196.30x = 3,295.34 × 897.90
  4. Step 4: Simplify right side
    2,196.30x = 2,958,885.79
  5. Step 5: Solve for x
    x = 2,958,885.79/2,196.30
  6. Step 6: Final answer
    x = 1,347.21

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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.