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Finding the Fourth Proportional to 2,770.04, 4,155.06 and 822.24

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Solution

The fourth proportional to 2,770.04, 4,155.06 and 822.24 is: 1,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.04 : 4,155.06 = 822.24 : x
  2. Step 2: Convert to fraction form
    2,770.04/4,155.06 = 822.24/x
  3. Step 3: Cross multiply
    2,770.04x = 4,155.06 × 822.24
  4. Step 4: Simplify right side
    2,770.04x = 3,416,453.45
  5. Step 5: Solve for x
    x = 3,416,453.45/2,770.04
  6. Step 6: Final answer
    x = 1,233.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.