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Finding the Fourth Proportional to 3,005.69, 4,497.26 and 2,083.05

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Solution

The fourth proportional to 3,005.69, 4,497.26 and 2,083.05 is: 3,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.69 : 4,497.26 = 2,083.05 : x
  2. Step 2: Convert to fraction form
    3,005.69/4,497.26 = 2,083.05/x
  3. Step 3: Cross multiply
    3,005.69x = 4,497.26 × 2,083.05
  4. Step 4: Simplify right side
    3,005.69x = 9,368,007.03
  5. Step 5: Solve for x
    x = 9,368,007.03/3,005.69
  6. Step 6: Final answer
    x = 3,116.76

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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.