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Finding the Fourth Proportional to 2,837.76, 3,913.38 and 1,843.32

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Solution

The fourth proportional to 2,837.76, 3,913.38 and 1,843.32 is: 2,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.76 : 3,913.38 = 1,843.32 : x
  2. Step 2: Convert to fraction form
    2,837.76/3,913.38 = 1,843.32/x
  3. Step 3: Cross multiply
    2,837.76x = 3,913.38 × 1,843.32
  4. Step 4: Simplify right side
    2,837.76x = 7,213,611.62
  5. Step 5: Solve for x
    x = 7,213,611.62/2,837.76
  6. Step 6: Final answer
    x = 2,542.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.