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Finding the Fourth Proportional to 2,094.88, 3,143.34 and 845.42

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Solution

The fourth proportional to 2,094.88, 3,143.34 and 845.42 is: 1,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.88 : 3,143.34 = 845.42 : x
  2. Step 2: Convert to fraction form
    2,094.88/3,143.34 = 845.42/x
  3. Step 3: Cross multiply
    2,094.88x = 3,143.34 × 845.42
  4. Step 4: Simplify right side
    2,094.88x = 2,657,442.50
  5. Step 5: Solve for x
    x = 2,657,442.50/2,094.88
  6. Step 6: Final answer
    x = 1,268.54

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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.