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Finding the Fourth Proportional to 1,847.81, 2,771.71 and 1,232.72

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Solution

The fourth proportional to 1,847.81, 2,771.71 and 1,232.72 is: 1,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.81 : 2,771.71 = 1,232.72 : x
  2. Step 2: Convert to fraction form
    1,847.81/2,771.71 = 1,232.72/x
  3. Step 3: Cross multiply
    1,847.81x = 2,771.71 × 1,232.72
  4. Step 4: Simplify right side
    1,847.81x = 3,416,728.49
  5. Step 5: Solve for x
    x = 3,416,728.49/1,847.81
  6. Step 6: Final answer
    x = 1,849.07

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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.