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Finding the Fourth Proportional to 2,945.73, 4,065.17 and 1,619.51

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Solution

The fourth proportional to 2,945.73, 4,065.17 and 1,619.51 is: 2,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.73 : 4,065.17 = 1,619.51 : x
  2. Step 2: Convert to fraction form
    2,945.73/4,065.17 = 1,619.51/x
  3. Step 3: Cross multiply
    2,945.73x = 4,065.17 × 1,619.51
  4. Step 4: Simplify right side
    2,945.73x = 6,583,583.47
  5. Step 5: Solve for x
    x = 6,583,583.47/2,945.73
  6. Step 6: Final answer
    x = 2,234.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.