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Finding the Fourth Proportional to 2,112.95, 3,169.73 and 652.23

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Solution

The fourth proportional to 2,112.95, 3,169.73 and 652.23 is: 978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.95 : 3,169.73 = 652.23 : x
  2. Step 2: Convert to fraction form
    2,112.95/3,169.73 = 652.23/x
  3. Step 3: Cross multiply
    2,112.95x = 3,169.73 × 652.23
  4. Step 4: Simplify right side
    2,112.95x = 2,067,394.63
  5. Step 5: Solve for x
    x = 2,067,394.63/2,112.95
  6. Step 6: Final answer
    x = 978.44

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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.