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Finding the Fourth Proportional to 2,023.53, 3,034.25 and 636.84

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Solution

The fourth proportional to 2,023.53, 3,034.25 and 636.84 is: 954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.53 : 3,034.25 = 636.84 : x
  2. Step 2: Convert to fraction form
    2,023.53/3,034.25 = 636.84/x
  3. Step 3: Cross multiply
    2,023.53x = 3,034.25 × 636.84
  4. Step 4: Simplify right side
    2,023.53x = 1,932,330.97
  5. Step 5: Solve for x
    x = 1,932,330.97/2,023.53
  6. Step 6: Final answer
    x = 954.93

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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.