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Finding the Fourth Proportional to 2,205.27, 3,307.91 and 561.77

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Solution

The fourth proportional to 2,205.27, 3,307.91 and 561.77 is: 842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.27 : 3,307.91 = 561.77 : x
  2. Step 2: Convert to fraction form
    2,205.27/3,307.91 = 561.77/x
  3. Step 3: Cross multiply
    2,205.27x = 3,307.91 × 561.77
  4. Step 4: Simplify right side
    2,205.27x = 1,858,284.60
  5. Step 5: Solve for x
    x = 1,858,284.60/2,205.27
  6. Step 6: Final answer
    x = 842.66

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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.