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Finding the Fourth Proportional to 2,023.86, 3,034.47 and 636.78

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Solution

The fourth proportional to 2,023.86, 3,034.47 and 636.78 is: 954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.86 : 3,034.47 = 636.78 : x
  2. Step 2: Convert to fraction form
    2,023.86/3,034.47 = 636.78/x
  3. Step 3: Cross multiply
    2,023.86x = 3,034.47 × 636.78
  4. Step 4: Simplify right side
    2,023.86x = 1,932,289.81
  5. Step 5: Solve for x
    x = 1,932,289.81/2,023.86
  6. Step 6: Final answer
    x = 954.75

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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.