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Finding the Fourth Proportional to 1,620.80, 2,430.72 and 850.88

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Solution

The fourth proportional to 1,620.80, 2,430.72 and 850.88 is: 1,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.80 : 2,430.72 = 850.88 : x
  2. Step 2: Convert to fraction form
    1,620.80/2,430.72 = 850.88/x
  3. Step 3: Cross multiply
    1,620.80x = 2,430.72 × 850.88
  4. Step 4: Simplify right side
    1,620.80x = 2,068,251.03
  5. Step 5: Solve for x
    x = 2,068,251.03/1,620.80
  6. Step 6: Final answer
    x = 1,276.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.