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Finding the Fourth Proportional to 1,942.32, 2,914.56 and 847.20

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Solution

The fourth proportional to 1,942.32, 2,914.56 and 847.20 is: 1,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.32 : 2,914.56 = 847.20 : x
  2. Step 2: Convert to fraction form
    1,942.32/2,914.56 = 847.20/x
  3. Step 3: Cross multiply
    1,942.32x = 2,914.56 × 847.20
  4. Step 4: Simplify right side
    1,942.32x = 2,469,215.23
  5. Step 5: Solve for x
    x = 2,469,215.23/1,942.32
  6. Step 6: Final answer
    x = 1,271.27

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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.