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Finding the Fourth Proportional to 2,801.60, 4,198.80 and 1,704.80

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Solution

The fourth proportional to 2,801.60, 4,198.80 and 1,704.80 is: 2,555.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.60 : 4,198.80 = 1,704.80 : x
  2. Step 2: Convert to fraction form
    2,801.60/4,198.80 = 1,704.80/x
  3. Step 3: Cross multiply
    2,801.60x = 4,198.80 × 1,704.80
  4. Step 4: Simplify right side
    2,801.60x = 7,158,114.24
  5. Step 5: Solve for x
    x = 7,158,114.24/2,801.60
  6. Step 6: Final answer
    x = 2,555.01

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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.