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Finding the Fourth Proportional to 1,843.74, 2,763.44 and 1,823.19

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Solution

The fourth proportional to 1,843.74, 2,763.44 and 1,823.19 is: 2,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.74 : 2,763.44 = 1,823.19 : x
  2. Step 2: Convert to fraction form
    1,843.74/2,763.44 = 1,823.19/x
  3. Step 3: Cross multiply
    1,843.74x = 2,763.44 × 1,823.19
  4. Step 4: Simplify right side
    1,843.74x = 5,038,267.06
  5. Step 5: Solve for x
    x = 5,038,267.06/1,843.74
  6. Step 6: Final answer
    x = 2,732.63

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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.