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Finding the Fourth Proportional to 2,704.33, 4,055.90 and 855.59

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Solution

The fourth proportional to 2,704.33, 4,055.90 and 855.59 is: 1,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.33 : 4,055.90 = 855.59 : x
  2. Step 2: Convert to fraction form
    2,704.33/4,055.90 = 855.59/x
  3. Step 3: Cross multiply
    2,704.33x = 4,055.90 × 855.59
  4. Step 4: Simplify right side
    2,704.33x = 3,470,187.48
  5. Step 5: Solve for x
    x = 3,470,187.48/2,704.33
  6. Step 6: Final answer
    x = 1,283.20

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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.