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Finding the Fourth Proportional to 2,091.45, 3,137.44 and 630.75

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Solution

The fourth proportional to 2,091.45, 3,137.44 and 630.75 is: 946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.45 : 3,137.44 = 630.75 : x
  2. Step 2: Convert to fraction form
    2,091.45/3,137.44 = 630.75/x
  3. Step 3: Cross multiply
    2,091.45x = 3,137.44 × 630.75
  4. Step 4: Simplify right side
    2,091.45x = 1,978,924.59
  5. Step 5: Solve for x
    x = 1,978,924.59/2,091.45
  6. Step 6: Final answer
    x = 946.20

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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.