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Finding the Fourth Proportional to 1,963.73, 2,944.44 and 976.51

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Solution

The fourth proportional to 1,963.73, 2,944.44 and 976.51 is: 1,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.73 : 2,944.44 = 976.51 : x
  2. Step 2: Convert to fraction form
    1,963.73/2,944.44 = 976.51/x
  3. Step 3: Cross multiply
    1,963.73x = 2,944.44 × 976.51
  4. Step 4: Simplify right side
    1,963.73x = 2,875,260.85
  5. Step 5: Solve for x
    x = 2,875,260.85/1,963.73
  6. Step 6: Final answer
    x = 1,464.18

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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.