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Finding the Fourth Proportional to 1,936.96, 2,905.16 and 782.80

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Solution

The fourth proportional to 1,936.96, 2,905.16 and 782.80 is: 1,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.96 : 2,905.16 = 782.80 : x
  2. Step 2: Convert to fraction form
    1,936.96/2,905.16 = 782.80/x
  3. Step 3: Cross multiply
    1,936.96x = 2,905.16 × 782.80
  4. Step 4: Simplify right side
    1,936.96x = 2,274,159.25
  5. Step 5: Solve for x
    x = 2,274,159.25/1,936.96
  6. Step 6: Final answer
    x = 1,174.09

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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.