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Finding the Fourth Proportional to 2,896.56, 4,343.16 and 1,336.56

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Solution

The fourth proportional to 2,896.56, 4,343.16 and 1,336.56 is: 2,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.56 : 4,343.16 = 1,336.56 : x
  2. Step 2: Convert to fraction form
    2,896.56/4,343.16 = 1,336.56/x
  3. Step 3: Cross multiply
    2,896.56x = 4,343.16 × 1,336.56
  4. Step 4: Simplify right side
    2,896.56x = 5,804,893.93
  5. Step 5: Solve for x
    x = 5,804,893.93/2,896.56
  6. Step 6: Final answer
    x = 2,004.06

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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.