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Finding the Fourth Proportional to 3,340.94, 4,608.56 and 2,162.00

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Solution

The fourth proportional to 3,340.94, 4,608.56 and 2,162.00 is: 2,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.94 : 4,608.56 = 2,162.00 : x
  2. Step 2: Convert to fraction form
    3,340.94/4,608.56 = 2,162.00/x
  3. Step 3: Cross multiply
    3,340.94x = 4,608.56 × 2,162.00
  4. Step 4: Simplify right side
    3,340.94x = 9,963,672.87
  5. Step 5: Solve for x
    x = 9,963,672.87/3,340.94
  6. Step 6: Final answer
    x = 2,982.30

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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.