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Finding the Fourth Proportional to 2,023.23, 3,035.43 and 636.75

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Solution

The fourth proportional to 2,023.23, 3,035.43 and 636.75 is: 955.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.23 : 3,035.43 = 636.75 : x
  2. Step 2: Convert to fraction form
    2,023.23/3,035.43 = 636.75/x
  3. Step 3: Cross multiply
    2,023.23x = 3,035.43 × 636.75
  4. Step 4: Simplify right side
    2,023.23x = 1,932,810.05
  5. Step 5: Solve for x
    x = 1,932,810.05/2,023.23
  6. Step 6: Final answer
    x = 955.31

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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.