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Finding the Fourth Proportional to 2,829.04, 4,245.22 and 1,185.45

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Solution

The fourth proportional to 2,829.04, 4,245.22 and 1,185.45 is: 1,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.04 : 4,245.22 = 1,185.45 : x
  2. Step 2: Convert to fraction form
    2,829.04/4,245.22 = 1,185.45/x
  3. Step 3: Cross multiply
    2,829.04x = 4,245.22 × 1,185.45
  4. Step 4: Simplify right side
    2,829.04x = 5,032,496.05
  5. Step 5: Solve for x
    x = 5,032,496.05/2,829.04
  6. Step 6: Final answer
    x = 1,778.87

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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.