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Finding the Fourth Proportional to 2,771.22, 4,157.64 and 922.62

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Solution

The fourth proportional to 2,771.22, 4,157.64 and 922.62 is: 1,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.22 : 4,157.64 = 922.62 : x
  2. Step 2: Convert to fraction form
    2,771.22/4,157.64 = 922.62/x
  3. Step 3: Cross multiply
    2,771.22x = 4,157.64 × 922.62
  4. Step 4: Simplify right side
    2,771.22x = 3,835,921.82
  5. Step 5: Solve for x
    x = 3,835,921.82/2,771.22
  6. Step 6: Final answer
    x = 1,384.20

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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.