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Finding the Fourth Proportional to 2,627.82, 3,940.47 and 1,166.58

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Solution

The fourth proportional to 2,627.82, 3,940.47 and 1,166.58 is: 1,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.82 : 3,940.47 = 1,166.58 : x
  2. Step 2: Convert to fraction form
    2,627.82/3,940.47 = 1,166.58/x
  3. Step 3: Cross multiply
    2,627.82x = 3,940.47 × 1,166.58
  4. Step 4: Simplify right side
    2,627.82x = 4,596,873.49
  5. Step 5: Solve for x
    x = 4,596,873.49/2,627.82
  6. Step 6: Final answer
    x = 1,749.31

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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.