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Finding the Fourth Proportional to 2,138.83, 2,940.27 and 1,838.97

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Solution

The fourth proportional to 2,138.83, 2,940.27 and 1,838.97 is: 2,528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.83 : 2,940.27 = 1,838.97 : x
  2. Step 2: Convert to fraction form
    2,138.83/2,940.27 = 1,838.97/x
  3. Step 3: Cross multiply
    2,138.83x = 2,940.27 × 1,838.97
  4. Step 4: Simplify right side
    2,138.83x = 5,407,075.67
  5. Step 5: Solve for x
    x = 5,407,075.67/2,138.83
  6. Step 6: Final answer
    x = 2,528.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.