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Finding the Fourth Proportional to 2,770, 4,155 and 822.16

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Solution

The fourth proportional to 2,770, 4,155 and 822.16 is: 1,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770 : 4,155 = 822.16 : x
  2. Step 2: Convert to fraction form
    2,770/4,155 = 822.16/x
  3. Step 3: Cross multiply
    2,770x = 4,155 × 822.16
  4. Step 4: Simplify right side
    2,770x = 3,416,074.80
  5. Step 5: Solve for x
    x = 3,416,074.80/2,770
  6. Step 6: Final answer
    x = 1,233.24

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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.