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Finding the Fourth Proportional to 2,091.87, 3,137.99 and 630.99

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Solution

The fourth proportional to 2,091.87, 3,137.99 and 630.99 is: 946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.87 : 3,137.99 = 630.99 : x
  2. Step 2: Convert to fraction form
    2,091.87/3,137.99 = 630.99/x
  3. Step 3: Cross multiply
    2,091.87x = 3,137.99 × 630.99
  4. Step 4: Simplify right side
    2,091.87x = 1,980,037.16
  5. Step 5: Solve for x
    x = 1,980,037.16/2,091.87
  6. Step 6: Final answer
    x = 946.54

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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.