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Finding the Fourth Proportional to 2,146.42, 3,219.58 and 685.55

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Solution

The fourth proportional to 2,146.42, 3,219.58 and 685.55 is: 1,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.42 : 3,219.58 = 685.55 : x
  2. Step 2: Convert to fraction form
    2,146.42/3,219.58 = 685.55/x
  3. Step 3: Cross multiply
    2,146.42x = 3,219.58 × 685.55
  4. Step 4: Simplify right side
    2,146.42x = 2,207,183.07
  5. Step 5: Solve for x
    x = 2,207,183.07/2,146.42
  6. Step 6: Final answer
    x = 1,028.31

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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.