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Finding the Fourth Proportional to 1,620.63, 2,236.87 and 922.41

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Solution

The fourth proportional to 1,620.63, 2,236.87 and 922.41 is: 1,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.63 : 2,236.87 = 922.41 : x
  2. Step 2: Convert to fraction form
    1,620.63/2,236.87 = 922.41/x
  3. Step 3: Cross multiply
    1,620.63x = 2,236.87 × 922.41
  4. Step 4: Simplify right side
    1,620.63x = 2,063,311.26
  5. Step 5: Solve for x
    x = 2,063,311.26/1,620.63
  6. Step 6: Final answer
    x = 1,273.15

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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.