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Finding the Fourth Proportional to 2,024.19, 3,034.81 and 636.78

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Solution

The fourth proportional to 2,024.19, 3,034.81 and 636.78 is: 954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.19 : 3,034.81 = 636.78 : x
  2. Step 2: Convert to fraction form
    2,024.19/3,034.81 = 636.78/x
  3. Step 3: Cross multiply
    2,024.19x = 3,034.81 × 636.78
  4. Step 4: Simplify right side
    2,024.19x = 1,932,506.31
  5. Step 5: Solve for x
    x = 1,932,506.31/2,024.19
  6. Step 6: Final answer
    x = 954.71

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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.