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Finding the Fourth Proportional to 2,965.26, 4,442.63 and 1,731.63

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Solution

The fourth proportional to 2,965.26, 4,442.63 and 1,731.63 is: 2,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.26 : 4,442.63 = 1,731.63 : x
  2. Step 2: Convert to fraction form
    2,965.26/4,442.63 = 1,731.63/x
  3. Step 3: Cross multiply
    2,965.26x = 4,442.63 × 1,731.63
  4. Step 4: Simplify right side
    2,965.26x = 7,692,982.73
  5. Step 5: Solve for x
    x = 7,692,982.73/2,965.26
  6. Step 6: Final answer
    x = 2,594.37

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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.