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Finding the Fourth Proportional to 2,829.76, 4,243.86 and 2,005.60

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Solution

The fourth proportional to 2,829.76, 4,243.86 and 2,005.60 is: 3,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.76 : 4,243.86 = 2,005.60 : x
  2. Step 2: Convert to fraction form
    2,829.76/4,243.86 = 2,005.60/x
  3. Step 3: Cross multiply
    2,829.76x = 4,243.86 × 2,005.60
  4. Step 4: Simplify right side
    2,829.76x = 8,511,485.62
  5. Step 5: Solve for x
    x = 8,511,485.62/2,829.76
  6. Step 6: Final answer
    x = 3,007.85

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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.