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Finding the Fourth Proportional to 3,448.04, 5,172.05 and 850.97

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Solution

The fourth proportional to 3,448.04, 5,172.05 and 850.97 is: 1,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.04 : 5,172.05 = 850.97 : x
  2. Step 2: Convert to fraction form
    3,448.04/5,172.05 = 850.97/x
  3. Step 3: Cross multiply
    3,448.04x = 5,172.05 × 850.97
  4. Step 4: Simplify right side
    3,448.04x = 4,401,274.45
  5. Step 5: Solve for x
    x = 4,401,274.45/3,448.04
  6. Step 6: Final answer
    x = 1,276.46

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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.