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Finding the Fourth Proportional to 1,898.41, 2,847.75 and 1,119.55

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Solution

The fourth proportional to 1,898.41, 2,847.75 and 1,119.55 is: 1,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.41 : 2,847.75 = 1,119.55 : x
  2. Step 2: Convert to fraction form
    1,898.41/2,847.75 = 1,119.55/x
  3. Step 3: Cross multiply
    1,898.41x = 2,847.75 × 1,119.55
  4. Step 4: Simplify right side
    1,898.41x = 3,188,198.51
  5. Step 5: Solve for x
    x = 3,188,198.51/1,898.41
  6. Step 6: Final answer
    x = 1,679.40

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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.