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Finding the Fourth Proportional to 2,112, 3,167.72 and 651.02

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Solution

The fourth proportional to 2,112, 3,167.72 and 651.02 is: 976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112 : 3,167.72 = 651.02 : x
  2. Step 2: Convert to fraction form
    2,112/3,167.72 = 651.02/x
  3. Step 3: Cross multiply
    2,112x = 3,167.72 × 651.02
  4. Step 4: Simplify right side
    2,112x = 2,062,249.07
  5. Step 5: Solve for x
    x = 2,062,249.07/2,112
  6. Step 6: Final answer
    x = 976.44

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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.