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Finding the Fourth Proportional to 1,620.14, 2,429.60 and 798.80

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Solution

The fourth proportional to 1,620.14, 2,429.60 and 798.80 is: 1,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.14 : 2,429.60 = 798.80 : x
  2. Step 2: Convert to fraction form
    1,620.14/2,429.60 = 798.80/x
  3. Step 3: Cross multiply
    1,620.14x = 2,429.60 × 798.80
  4. Step 4: Simplify right side
    1,620.14x = 1,940,748.34
  5. Step 5: Solve for x
    x = 1,940,748.34/1,620.14
  6. Step 6: Final answer
    x = 1,197.89

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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.