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Finding the Fourth Proportional to 3,077.63, 4,617.80 and 1,616.44

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Solution

The fourth proportional to 3,077.63, 4,617.80 and 1,616.44 is: 2,425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.63 : 4,617.80 = 1,616.44 : x
  2. Step 2: Convert to fraction form
    3,077.63/4,617.80 = 1,616.44/x
  3. Step 3: Cross multiply
    3,077.63x = 4,617.80 × 1,616.44
  4. Step 4: Simplify right side
    3,077.63x = 7,464,396.63
  5. Step 5: Solve for x
    x = 7,464,396.63/3,077.63
  6. Step 6: Final answer
    x = 2,425.37

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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.