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Finding the Fourth Proportional to 1,936.17, 2,903.31 and 962.82

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Solution

The fourth proportional to 1,936.17, 2,903.31 and 962.82 is: 1,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.17 : 2,903.31 = 962.82 : x
  2. Step 2: Convert to fraction form
    1,936.17/2,903.31 = 962.82/x
  3. Step 3: Cross multiply
    1,936.17x = 2,903.31 × 962.82
  4. Step 4: Simplify right side
    1,936.17x = 2,795,364.93
  5. Step 5: Solve for x
    x = 2,795,364.93/1,936.17
  6. Step 6: Final answer
    x = 1,443.76

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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.