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Finding the Fourth Proportional to 2,217.45, 3,325.99 and 830.13

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Solution

The fourth proportional to 2,217.45, 3,325.99 and 830.13 is: 1,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.45 : 3,325.99 = 830.13 : x
  2. Step 2: Convert to fraction form
    2,217.45/3,325.99 = 830.13/x
  3. Step 3: Cross multiply
    2,217.45x = 3,325.99 × 830.13
  4. Step 4: Simplify right side
    2,217.45x = 2,761,004.08
  5. Step 5: Solve for x
    x = 2,761,004.08/2,217.45
  6. Step 6: Final answer
    x = 1,245.13

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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.