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Finding the Fourth Proportional to 2,491.75, 3,738.99 and 1,193.22

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Solution

The fourth proportional to 2,491.75, 3,738.99 and 1,193.22 is: 1,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.75 : 3,738.99 = 1,193.22 : x
  2. Step 2: Convert to fraction form
    2,491.75/3,738.99 = 1,193.22/x
  3. Step 3: Cross multiply
    2,491.75x = 3,738.99 × 1,193.22
  4. Step 4: Simplify right side
    2,491.75x = 4,461,437.65
  5. Step 5: Solve for x
    x = 4,461,437.65/2,491.75
  6. Step 6: Final answer
    x = 1,790.48

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1.5x scale

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.