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Finding the Fourth Proportional to 2,205.28, 3,307.90 and 561.85

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Solution

The fourth proportional to 2,205.28, 3,307.90 and 561.85 is: 842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.28 : 3,307.90 = 561.85 : x
  2. Step 2: Convert to fraction form
    2,205.28/3,307.90 = 561.85/x
  3. Step 3: Cross multiply
    2,205.28x = 3,307.90 × 561.85
  4. Step 4: Simplify right side
    2,205.28x = 1,858,543.62
  5. Step 5: Solve for x
    x = 1,858,543.62/2,205.28
  6. Step 6: Final answer
    x = 842.77

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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.