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Finding the Fourth Proportional to 2,196.78, 3,295.17 and 657.78

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Solution

The fourth proportional to 2,196.78, 3,295.17 and 657.78 is: 986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.78 : 3,295.17 = 657.78 : x
  2. Step 2: Convert to fraction form
    2,196.78/3,295.17 = 657.78/x
  3. Step 3: Cross multiply
    2,196.78x = 3,295.17 × 657.78
  4. Step 4: Simplify right side
    2,196.78x = 2,167,496.92
  5. Step 5: Solve for x
    x = 2,167,496.92/2,196.78
  6. Step 6: Final answer
    x = 986.67

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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.