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Finding the Fourth Proportional to 2,270.69, 3,405.72 and 884.44

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Solution

The fourth proportional to 2,270.69, 3,405.72 and 884.44 is: 1,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.69 : 3,405.72 = 884.44 : x
  2. Step 2: Convert to fraction form
    2,270.69/3,405.72 = 884.44/x
  3. Step 3: Cross multiply
    2,270.69x = 3,405.72 × 884.44
  4. Step 4: Simplify right side
    2,270.69x = 3,012,155.00
  5. Step 5: Solve for x
    x = 3,012,155.00/2,270.69
  6. Step 6: Final answer
    x = 1,326.54

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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.