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Finding the Fourth Proportional to 2,112.96, 3,169.20 and 652.12

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Solution

The fourth proportional to 2,112.96, 3,169.20 and 652.12 is: 978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.96 : 3,169.20 = 652.12 : x
  2. Step 2: Convert to fraction form
    2,112.96/3,169.20 = 652.12/x
  3. Step 3: Cross multiply
    2,112.96x = 3,169.20 × 652.12
  4. Step 4: Simplify right side
    2,112.96x = 2,066,698.70
  5. Step 5: Solve for x
    x = 2,066,698.70/2,112.96
  6. Step 6: Final answer
    x = 978.11

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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.