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Finding the Fourth Proportional to 1,942.38, 2,914.00 and 847.06

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Solution

The fourth proportional to 1,942.38, 2,914.00 and 847.06 is: 1,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.38 : 2,914.00 = 847.06 : x
  2. Step 2: Convert to fraction form
    1,942.38/2,914.00 = 847.06/x
  3. Step 3: Cross multiply
    1,942.38x = 2,914.00 × 847.06
  4. Step 4: Simplify right side
    1,942.38x = 2,468,323.44
  5. Step 5: Solve for x
    x = 2,468,323.44/1,942.38
  6. Step 6: Final answer
    x = 1,270.77

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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.