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Finding the Fourth Proportional to 2,112.82, 3,169.24 and 652

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Solution

The fourth proportional to 2,112.82, 3,169.24 and 652 is: 978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.82 : 3,169.24 = 652 : x
  2. Step 2: Convert to fraction form
    2,112.82/3,169.24 = 652/x
  3. Step 3: Cross multiply
    2,112.82x = 3,169.24 × 652
  4. Step 4: Simplify right side
    2,112.82x = 2,066,344.48
  5. Step 5: Solve for x
    x = 2,066,344.48/2,112.82
  6. Step 6: Final answer
    x = 978.00

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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.