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Finding the Fourth Proportional to 2,212, 3,317.74 and 568.58

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Solution

The fourth proportional to 2,212, 3,317.74 and 568.58 is: 852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212 : 3,317.74 = 568.58 : x
  2. Step 2: Convert to fraction form
    2,212/3,317.74 = 568.58/x
  3. Step 3: Cross multiply
    2,212x = 3,317.74 × 568.58
  4. Step 4: Simplify right side
    2,212x = 1,886,400.61
  5. Step 5: Solve for x
    x = 1,886,400.61/2,212
  6. Step 6: Final answer
    x = 852.80

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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.