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Finding the Fourth Proportional to 1,792.92, 2,475.07 and 1,196.41

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Solution

The fourth proportional to 1,792.92, 2,475.07 and 1,196.41 is: 1,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.92 : 2,475.07 = 1,196.41 : x
  2. Step 2: Convert to fraction form
    1,792.92/2,475.07 = 1,196.41/x
  3. Step 3: Cross multiply
    1,792.92x = 2,475.07 × 1,196.41
  4. Step 4: Simplify right side
    1,792.92x = 2,961,198.50
  5. Step 5: Solve for x
    x = 2,961,198.50/1,792.92
  6. Step 6: Final answer
    x = 1,651.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.