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Finding the Fourth Proportional to 2,694.85, 3,722.93 and 2,133.52

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Solution

The fourth proportional to 2,694.85, 3,722.93 and 2,133.52 is: 2,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.85 : 3,722.93 = 2,133.52 : x
  2. Step 2: Convert to fraction form
    2,694.85/3,722.93 = 2,133.52/x
  3. Step 3: Cross multiply
    2,694.85x = 3,722.93 × 2,133.52
  4. Step 4: Simplify right side
    2,694.85x = 7,942,945.61
  5. Step 5: Solve for x
    x = 7,942,945.61/2,694.85
  6. Step 6: Final answer
    x = 2,947.45

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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.