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Finding the Fourth Proportional to 3,094.32, 4,648.14 and 1,940.88

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Solution

The fourth proportional to 3,094.32, 4,648.14 and 1,940.88 is: 2,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.32 : 4,648.14 = 1,940.88 : x
  2. Step 2: Convert to fraction form
    3,094.32/4,648.14 = 1,940.88/x
  3. Step 3: Cross multiply
    3,094.32x = 4,648.14 × 1,940.88
  4. Step 4: Simplify right side
    3,094.32x = 9,021,481.96
  5. Step 5: Solve for x
    x = 9,021,481.96/3,094.32
  6. Step 6: Final answer
    x = 2,915.50

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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.