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Finding the Fourth Proportional to 2,021.94, 3,032.93 and 635.24

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Solution

The fourth proportional to 2,021.94, 3,032.93 and 635.24 is: 952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.94 : 3,032.93 = 635.24 : x
  2. Step 2: Convert to fraction form
    2,021.94/3,032.93 = 635.24/x
  3. Step 3: Cross multiply
    2,021.94x = 3,032.93 × 635.24
  4. Step 4: Simplify right side
    2,021.94x = 1,926,648.32
  5. Step 5: Solve for x
    x = 1,926,648.32/2,021.94
  6. Step 6: Final answer
    x = 952.87

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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.