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Finding the Fourth Proportional to 2,022.71, 3,034.10 and 636.01

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Solution

The fourth proportional to 2,022.71, 3,034.10 and 636.01 is: 954.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.71 : 3,034.10 = 636.01 : x
  2. Step 2: Convert to fraction form
    2,022.71/3,034.10 = 636.01/x
  3. Step 3: Cross multiply
    2,022.71x = 3,034.10 × 636.01
  4. Step 4: Simplify right side
    2,022.71x = 1,929,717.94
  5. Step 5: Solve for x
    x = 1,929,717.94/2,022.71
  6. Step 6: Final answer
    x = 954.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.