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Finding the Fourth Proportional to 2,305, 3,457.92 and 2,096.33

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Solution

The fourth proportional to 2,305, 3,457.92 and 2,096.33 is: 3,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305 : 3,457.92 = 2,096.33 : x
  2. Step 2: Convert to fraction form
    2,305/3,457.92 = 2,096.33/x
  3. Step 3: Cross multiply
    2,305x = 3,457.92 × 2,096.33
  4. Step 4: Simplify right side
    2,305x = 7,248,941.43
  5. Step 5: Solve for x
    x = 7,248,941.43/2,305
  6. Step 6: Final answer
    x = 3,144.88

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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.