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Finding the Fourth Proportional to 1,620.60, 2,236.43 and 912.41

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Solution

The fourth proportional to 1,620.60, 2,236.43 and 912.41 is: 1,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.60 : 2,236.43 = 912.41 : x
  2. Step 2: Convert to fraction form
    1,620.60/2,236.43 = 912.41/x
  3. Step 3: Cross multiply
    1,620.60x = 2,236.43 × 912.41
  4. Step 4: Simplify right side
    1,620.60x = 2,040,532.20
  5. Step 5: Solve for x
    x = 2,040,532.20/1,620.60
  6. Step 6: Final answer
    x = 1,259.12

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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.