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Finding the Fourth Proportional to 3,305, 4,954.92 and 1,742.96

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Solution

The fourth proportional to 3,305, 4,954.92 and 1,742.96 is: 2,613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305 : 4,954.92 = 1,742.96 : x
  2. Step 2: Convert to fraction form
    3,305/4,954.92 = 1,742.96/x
  3. Step 3: Cross multiply
    3,305x = 4,954.92 × 1,742.96
  4. Step 4: Simplify right side
    3,305x = 8,636,227.36
  5. Step 5: Solve for x
    x = 8,636,227.36/3,305
  6. Step 6: Final answer
    x = 2,613.08

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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.