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Finding the Fourth Proportional to 2,213.98, 3,320.70 and 653.96

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Solution

The fourth proportional to 2,213.98, 3,320.70 and 653.96 is: 980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.98 : 3,320.70 = 653.96 : x
  2. Step 2: Convert to fraction form
    2,213.98/3,320.70 = 653.96/x
  3. Step 3: Cross multiply
    2,213.98x = 3,320.70 × 653.96
  4. Step 4: Simplify right side
    2,213.98x = 2,171,592.14
  5. Step 5: Solve for x
    x = 2,171,592.14/2,213.98
  6. Step 6: Final answer
    x = 980.85

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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.