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Finding the Fourth Proportional to 1,792.25, 2,474.15 and 1,195.74

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Solution

The fourth proportional to 1,792.25, 2,474.15 and 1,195.74 is: 1,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.25 : 2,474.15 = 1,195.74 : x
  2. Step 2: Convert to fraction form
    1,792.25/2,474.15 = 1,195.74/x
  3. Step 3: Cross multiply
    1,792.25x = 2,474.15 × 1,195.74
  4. Step 4: Simplify right side
    1,792.25x = 2,958,440.12
  5. Step 5: Solve for x
    x = 2,958,440.12/1,792.25
  6. Step 6: Final answer
    x = 1,650.68

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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.