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Finding the Fourth Proportional to 1,906.96, 2,859 and 1,040.80

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Solution

The fourth proportional to 1,906.96, 2,859 and 1,040.80 is: 1,560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.96 : 2,859 = 1,040.80 : x
  2. Step 2: Convert to fraction form
    1,906.96/2,859 = 1,040.80/x
  3. Step 3: Cross multiply
    1,906.96x = 2,859 × 1,040.80
  4. Step 4: Simplify right side
    1,906.96x = 2,975,647.20
  5. Step 5: Solve for x
    x = 2,975,647.20/1,906.96
  6. Step 6: Final answer
    x = 1,560.41

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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.