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Finding the Fourth Proportional to 2,144.42, 3,216.75 and 911.06

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Solution

The fourth proportional to 2,144.42, 3,216.75 and 911.06 is: 1,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.42 : 3,216.75 = 911.06 : x
  2. Step 2: Convert to fraction form
    2,144.42/3,216.75 = 911.06/x
  3. Step 3: Cross multiply
    2,144.42x = 3,216.75 × 911.06
  4. Step 4: Simplify right side
    2,144.42x = 2,930,652.26
  5. Step 5: Solve for x
    x = 2,930,652.26/2,144.42
  6. Step 6: Final answer
    x = 1,366.64

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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.