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Finding the Fourth Proportional to 2,212, 3,052.52 and 1,267.80

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Solution

The fourth proportional to 2,212, 3,052.52 and 1,267.80 is: 1,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212 : 3,052.52 = 1,267.80 : x
  2. Step 2: Convert to fraction form
    2,212/3,052.52 = 1,267.80/x
  3. Step 3: Cross multiply
    2,212x = 3,052.52 × 1,267.80
  4. Step 4: Simplify right side
    2,212x = 3,869,984.86
  5. Step 5: Solve for x
    x = 3,869,984.86/2,212
  6. Step 6: Final answer
    x = 1,749.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.