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Finding the Fourth Proportional to 2,800.41, 4,198.44 and 1,157.37

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Solution

The fourth proportional to 2,800.41, 4,198.44 and 1,157.37 is: 1,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.41 : 4,198.44 = 1,157.37 : x
  2. Step 2: Convert to fraction form
    2,800.41/4,198.44 = 1,157.37/x
  3. Step 3: Cross multiply
    2,800.41x = 4,198.44 × 1,157.37
  4. Step 4: Simplify right side
    2,800.41x = 4,859,148.50
  5. Step 5: Solve for x
    x = 4,859,148.50/2,800.41
  6. Step 6: Final answer
    x = 1,735.16

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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.