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Finding the Fourth Proportional to 1,906.20, 2,859.98 and 1,174.92

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Solution

The fourth proportional to 1,906.20, 2,859.98 and 1,174.92 is: 1,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.20 : 2,859.98 = 1,174.92 : x
  2. Step 2: Convert to fraction form
    1,906.20/2,859.98 = 1,174.92/x
  3. Step 3: Cross multiply
    1,906.20x = 2,859.98 × 1,174.92
  4. Step 4: Simplify right side
    1,906.20x = 3,360,241.83
  5. Step 5: Solve for x
    x = 3,360,241.83/1,906.20
  6. Step 6: Final answer
    x = 1,762.80

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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.