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Finding the Fourth Proportional to 2,774.94, 3,830.54 and 1,891.64

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Solution

The fourth proportional to 2,774.94, 3,830.54 and 1,891.64 is: 2,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.94 : 3,830.54 = 1,891.64 : x
  2. Step 2: Convert to fraction form
    2,774.94/3,830.54 = 1,891.64/x
  3. Step 3: Cross multiply
    2,774.94x = 3,830.54 × 1,891.64
  4. Step 4: Simplify right side
    2,774.94x = 7,245,974.07
  5. Step 5: Solve for x
    x = 7,245,974.07/2,774.94
  6. Step 6: Final answer
    x = 2,611.22

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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.