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Finding the Fourth Proportional to 2,196.46, 3,294.10 and 897.67

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Solution

The fourth proportional to 2,196.46, 3,294.10 and 897.67 is: 1,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.46 : 3,294.10 = 897.67 : x
  2. Step 2: Convert to fraction form
    2,196.46/3,294.10 = 897.67/x
  3. Step 3: Cross multiply
    2,196.46x = 3,294.10 × 897.67
  4. Step 4: Simplify right side
    2,196.46x = 2,957,014.75
  5. Step 5: Solve for x
    x = 2,957,014.75/2,196.46
  6. Step 6: Final answer
    x = 1,346.26

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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.