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Finding the Fourth Proportional to 2,023.25, 3,034.89 and 655.25

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Solution

The fourth proportional to 2,023.25, 3,034.89 and 655.25 is: 982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.25 : 3,034.89 = 655.25 : x
  2. Step 2: Convert to fraction form
    2,023.25/3,034.89 = 655.25/x
  3. Step 3: Cross multiply
    2,023.25x = 3,034.89 × 655.25
  4. Step 4: Simplify right side
    2,023.25x = 1,988,611.67
  5. Step 5: Solve for x
    x = 1,988,611.67/2,023.25
  6. Step 6: Final answer
    x = 982.88

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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.