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Finding the Fourth Proportional to 3,195.17, 4,792.98 and 855.17

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Solution

The fourth proportional to 3,195.17, 4,792.98 and 855.17 is: 1,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.17 : 4,792.98 = 855.17 : x
  2. Step 2: Convert to fraction form
    3,195.17/4,792.98 = 855.17/x
  3. Step 3: Cross multiply
    3,195.17x = 4,792.98 × 855.17
  4. Step 4: Simplify right side
    3,195.17x = 4,098,812.71
  5. Step 5: Solve for x
    x = 4,098,812.71/3,195.17
  6. Step 6: Final answer
    x = 1,282.82

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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.