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Finding the Fourth Proportional to 1,936.46, 2,904.68 and 840.68

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Solution

The fourth proportional to 1,936.46, 2,904.68 and 840.68 is: 1,261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.46 : 2,904.68 = 840.68 : x
  2. Step 2: Convert to fraction form
    1,936.46/2,904.68 = 840.68/x
  3. Step 3: Cross multiply
    1,936.46x = 2,904.68 × 840.68
  4. Step 4: Simplify right side
    1,936.46x = 2,441,906.38
  5. Step 5: Solve for x
    x = 2,441,906.38/1,936.46
  6. Step 6: Final answer
    x = 1,261.02

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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.