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Finding the Fourth Proportional to 2,647.00, 3,970.70 and 892.01

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Solution

The fourth proportional to 2,647.00, 3,970.70 and 892.01 is: 1,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.00 : 3,970.70 = 892.01 : x
  2. Step 2: Convert to fraction form
    2,647.00/3,970.70 = 892.01/x
  3. Step 3: Cross multiply
    2,647.00x = 3,970.70 × 892.01
  4. Step 4: Simplify right side
    2,647.00x = 3,541,912.92
  5. Step 5: Solve for x
    x = 3,541,912.92/2,647.00
  6. Step 6: Final answer
    x = 1,338.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.