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Finding the Fourth Proportional to 2,179.82, 3,263.54 and 1,447.94

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Solution

The fourth proportional to 2,179.82, 3,263.54 and 1,447.94 is: 2,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.82 : 3,263.54 = 1,447.94 : x
  2. Step 2: Convert to fraction form
    2,179.82/3,263.54 = 1,447.94/x
  3. Step 3: Cross multiply
    2,179.82x = 3,263.54 × 1,447.94
  4. Step 4: Simplify right side
    2,179.82x = 4,725,410.11
  5. Step 5: Solve for x
    x = 4,725,410.11/2,179.82
  6. Step 6: Final answer
    x = 2,167.80

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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.