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Finding the Fourth Proportional to 2,083.80, 3,129.64 and 1,263.56

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Solution

The fourth proportional to 2,083.80, 3,129.64 and 1,263.56 is: 1,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.80 : 3,129.64 = 1,263.56 : x
  2. Step 2: Convert to fraction form
    2,083.80/3,129.64 = 1,263.56/x
  3. Step 3: Cross multiply
    2,083.80x = 3,129.64 × 1,263.56
  4. Step 4: Simplify right side
    2,083.80x = 3,954,487.92
  5. Step 5: Solve for x
    x = 3,954,487.92/2,083.80
  6. Step 6: Final answer
    x = 1,897.73

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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.