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Finding the Fourth Proportional to 2,490.56, 3,736.56 and 1,029.44

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Solution

The fourth proportional to 2,490.56, 3,736.56 and 1,029.44 is: 1,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.56 : 3,736.56 = 1,029.44 : x
  2. Step 2: Convert to fraction form
    2,490.56/3,736.56 = 1,029.44/x
  3. Step 3: Cross multiply
    2,490.56x = 3,736.56 × 1,029.44
  4. Step 4: Simplify right side
    2,490.56x = 3,846,564.33
  5. Step 5: Solve for x
    x = 3,846,564.33/2,490.56
  6. Step 6: Final answer
    x = 1,544.46

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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.