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Finding the Fourth Proportional to 1,305.85, 1,947.87 and 1,182.73

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Solution

The fourth proportional to 1,305.85, 1,947.87 and 1,182.73 is: 1,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.85 : 1,947.87 = 1,182.73 : x
  2. Step 2: Convert to fraction form
    1,305.85/1,947.87 = 1,182.73/x
  3. Step 3: Cross multiply
    1,305.85x = 1,947.87 × 1,182.73
  4. Step 4: Simplify right side
    1,305.85x = 2,303,804.29
  5. Step 5: Solve for x
    x = 2,303,804.29/1,305.85
  6. Step 6: Final answer
    x = 1,764.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.