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Finding the Fourth Proportional to 3,094.92, 4,638.54 and 2,181

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Solution

The fourth proportional to 3,094.92, 4,638.54 and 2,181 is: 3,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.92 : 4,638.54 = 2,181 : x
  2. Step 2: Convert to fraction form
    3,094.92/4,638.54 = 2,181/x
  3. Step 3: Cross multiply
    3,094.92x = 4,638.54 × 2,181
  4. Step 4: Simplify right side
    3,094.92x = 10,116,655.74
  5. Step 5: Solve for x
    x = 10,116,655.74/3,094.92
  6. Step 6: Final answer
    x = 3,268.79

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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.