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Finding the Fourth Proportional to 2,832.74, 3,907.41 and 1,947.00

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Solution

The fourth proportional to 2,832.74, 3,907.41 and 1,947.00 is: 2,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.74 : 3,907.41 = 1,947.00 : x
  2. Step 2: Convert to fraction form
    2,832.74/3,907.41 = 1,947.00/x
  3. Step 3: Cross multiply
    2,832.74x = 3,907.41 × 1,947.00
  4. Step 4: Simplify right side
    2,832.74x = 7,607,751.05
  5. Step 5: Solve for x
    x = 7,607,751.05/2,832.74
  6. Step 6: Final answer
    x = 2,685.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.