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Finding the Fourth Proportional to 3,096.76, 4,273.74 and 2,290

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Solution

The fourth proportional to 3,096.76, 4,273.74 and 2,290 is: 3,160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.76 : 4,273.74 = 2,290 : x
  2. Step 2: Convert to fraction form
    3,096.76/4,273.74 = 2,290/x
  3. Step 3: Cross multiply
    3,096.76x = 4,273.74 × 2,290
  4. Step 4: Simplify right side
    3,096.76x = 9,786,864.60
  5. Step 5: Solve for x
    x = 9,786,864.60/3,096.76
  6. Step 6: Final answer
    x = 3,160.36

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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.