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Finding the Fourth Proportional to 2,137.31, 3,203.52 and 980.63

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Solution

The fourth proportional to 2,137.31, 3,203.52 and 980.63 is: 1,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.31 : 3,203.52 = 980.63 : x
  2. Step 2: Convert to fraction form
    2,137.31/3,203.52 = 980.63/x
  3. Step 3: Cross multiply
    2,137.31x = 3,203.52 × 980.63
  4. Step 4: Simplify right side
    2,137.31x = 3,141,451.80
  5. Step 5: Solve for x
    x = 3,141,451.80/2,137.31
  6. Step 6: Final answer
    x = 1,469.82

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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.