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Finding the Fourth Proportional to 1,936.37, 2,905.29 and 896.87

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Solution

The fourth proportional to 1,936.37, 2,905.29 and 896.87 is: 1,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.37 : 2,905.29 = 896.87 : x
  2. Step 2: Convert to fraction form
    1,936.37/2,905.29 = 896.87/x
  3. Step 3: Cross multiply
    1,936.37x = 2,905.29 × 896.87
  4. Step 4: Simplify right side
    1,936.37x = 2,605,667.44
  5. Step 5: Solve for x
    x = 2,605,667.44/1,936.37
  6. Step 6: Final answer
    x = 1,345.65

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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.