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Finding the Fourth Proportional to 2,196.70, 3,294.98 and 879.80

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Solution

The fourth proportional to 2,196.70, 3,294.98 and 879.80 is: 1,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.70 : 3,294.98 = 879.80 : x
  2. Step 2: Convert to fraction form
    2,196.70/3,294.98 = 879.80/x
  3. Step 3: Cross multiply
    2,196.70x = 3,294.98 × 879.80
  4. Step 4: Simplify right side
    2,196.70x = 2,898,923.40
  5. Step 5: Solve for x
    x = 2,898,923.40/2,196.70
  6. Step 6: Final answer
    x = 1,319.67

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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.