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Finding the Fourth Proportional to 2,855.70, 4,287.60 and 1,762.20

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Solution

The fourth proportional to 2,855.70, 4,287.60 and 1,762.20 is: 2,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.70 : 4,287.60 = 1,762.20 : x
  2. Step 2: Convert to fraction form
    2,855.70/4,287.60 = 1,762.20/x
  3. Step 3: Cross multiply
    2,855.70x = 4,287.60 × 1,762.20
  4. Step 4: Simplify right side
    2,855.70x = 7,555,608.72
  5. Step 5: Solve for x
    x = 7,555,608.72/2,855.70
  6. Step 6: Final answer
    x = 2,645.80

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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.