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Finding the Fourth Proportional to 1,620.64, 2,236.44 and 922.24

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Solution

The fourth proportional to 1,620.64, 2,236.44 and 922.24 is: 1,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.64 : 2,236.44 = 922.24 : x
  2. Step 2: Convert to fraction form
    1,620.64/2,236.44 = 922.24/x
  3. Step 3: Cross multiply
    1,620.64x = 2,236.44 × 922.24
  4. Step 4: Simplify right side
    1,620.64x = 2,062,534.43
  5. Step 5: Solve for x
    x = 2,062,534.43/1,620.64
  6. Step 6: Final answer
    x = 1,272.67

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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.