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Finding the Fourth Proportional to 1,843.87, 2,763.63 and 1,823.32

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Solution

The fourth proportional to 1,843.87, 2,763.63 and 1,823.32 is: 2,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.87 : 2,763.63 = 1,823.32 : x
  2. Step 2: Convert to fraction form
    1,843.87/2,763.63 = 1,823.32/x
  3. Step 3: Cross multiply
    1,843.87x = 2,763.63 × 1,823.32
  4. Step 4: Simplify right side
    1,843.87x = 5,038,958.92
  5. Step 5: Solve for x
    x = 5,038,958.92/1,843.87
  6. Step 6: Final answer
    x = 2,732.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.