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Finding the Fourth Proportional to 2,788.07, 3,846.87 and 1,668.80

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Solution

The fourth proportional to 2,788.07, 3,846.87 and 1,668.80 is: 2,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.07 : 3,846.87 = 1,668.80 : x
  2. Step 2: Convert to fraction form
    2,788.07/3,846.87 = 1,668.80/x
  3. Step 3: Cross multiply
    2,788.07x = 3,846.87 × 1,668.80
  4. Step 4: Simplify right side
    2,788.07x = 6,419,637.42
  5. Step 5: Solve for x
    x = 6,419,637.42/2,788.07
  6. Step 6: Final answer
    x = 2,302.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.