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Finding the Fourth Proportional to 3,184.26, 4,776.24 and 844.26

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Solution

The fourth proportional to 3,184.26, 4,776.24 and 844.26 is: 1,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.26 : 4,776.24 = 844.26 : x
  2. Step 2: Convert to fraction form
    3,184.26/4,776.24 = 844.26/x
  3. Step 3: Cross multiply
    3,184.26x = 4,776.24 × 844.26
  4. Step 4: Simplify right side
    3,184.26x = 4,032,388.38
  5. Step 5: Solve for x
    x = 4,032,388.38/3,184.26
  6. Step 6: Final answer
    x = 1,266.35

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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.