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Finding the Fourth Proportional to 2,205.38, 3,307.12 and 817.70

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Solution

The fourth proportional to 2,205.38, 3,307.12 and 817.70 is: 1,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.38 : 3,307.12 = 817.70 : x
  2. Step 2: Convert to fraction form
    2,205.38/3,307.12 = 817.70/x
  3. Step 3: Cross multiply
    2,205.38x = 3,307.12 × 817.70
  4. Step 4: Simplify right side
    2,205.38x = 2,704,212.29
  5. Step 5: Solve for x
    x = 2,704,212.29/2,205.38
  6. Step 6: Final answer
    x = 1,226.19

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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.