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Finding the Fourth Proportional to 2,722.12, 4,083.36 and 847.75

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Solution

The fourth proportional to 2,722.12, 4,083.36 and 847.75 is: 1,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.12 : 4,083.36 = 847.75 : x
  2. Step 2: Convert to fraction form
    2,722.12/4,083.36 = 847.75/x
  3. Step 3: Cross multiply
    2,722.12x = 4,083.36 × 847.75
  4. Step 4: Simplify right side
    2,722.12x = 3,461,668.44
  5. Step 5: Solve for x
    x = 3,461,668.44/2,722.12
  6. Step 6: Final answer
    x = 1,271.68

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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.