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Finding the Fourth Proportional to 2,036.56, 3,054.84 and 738.96

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Solution

The fourth proportional to 2,036.56, 3,054.84 and 738.96 is: 1,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.56 : 3,054.84 = 738.96 : x
  2. Step 2: Convert to fraction form
    2,036.56/3,054.84 = 738.96/x
  3. Step 3: Cross multiply
    2,036.56x = 3,054.84 × 738.96
  4. Step 4: Simplify right side
    2,036.56x = 2,257,404.57
  5. Step 5: Solve for x
    x = 2,257,404.57/2,036.56
  6. Step 6: Final answer
    x = 1,108.44

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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.