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Finding the Fourth Proportional to 2,707.73, 4,059.36 and 1,319.59

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Solution

The fourth proportional to 2,707.73, 4,059.36 and 1,319.59 is: 1,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.73 : 4,059.36 = 1,319.59 : x
  2. Step 2: Convert to fraction form
    2,707.73/4,059.36 = 1,319.59/x
  3. Step 3: Cross multiply
    2,707.73x = 4,059.36 × 1,319.59
  4. Step 4: Simplify right side
    2,707.73x = 5,356,663.97
  5. Step 5: Solve for x
    x = 5,356,663.97/2,707.73
  6. Step 6: Final answer
    x = 1,978.29

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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.