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Finding the Fourth Proportional to 3,277.14, 4,907.79 and 2,043

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Solution

The fourth proportional to 3,277.14, 4,907.79 and 2,043 is: 3,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.14 : 4,907.79 = 2,043 : x
  2. Step 2: Convert to fraction form
    3,277.14/4,907.79 = 2,043/x
  3. Step 3: Cross multiply
    3,277.14x = 4,907.79 × 2,043
  4. Step 4: Simplify right side
    3,277.14x = 10,026,614.97
  5. Step 5: Solve for x
    x = 10,026,614.97/3,277.14
  6. Step 6: Final answer
    x = 3,059.56

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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.