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Finding the Fourth Proportional to 2,447.88, 3,375.84 and 2,094.84

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Solution

The fourth proportional to 2,447.88, 3,375.84 and 2,094.84 is: 2,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.88 : 3,375.84 = 2,094.84 : x
  2. Step 2: Convert to fraction form
    2,447.88/3,375.84 = 2,094.84/x
  3. Step 3: Cross multiply
    2,447.88x = 3,375.84 × 2,094.84
  4. Step 4: Simplify right side
    2,447.88x = 7,071,844.67
  5. Step 5: Solve for x
    x = 7,071,844.67/2,447.88
  6. Step 6: Final answer
    x = 2,888.97

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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.