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Finding the Fourth Proportional to 2,739, 4,109.21 and 1,096.66

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Solution

The fourth proportional to 2,739, 4,109.21 and 1,096.66 is: 1,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739 : 4,109.21 = 1,096.66 : x
  2. Step 2: Convert to fraction form
    2,739/4,109.21 = 1,096.66/x
  3. Step 3: Cross multiply
    2,739x = 4,109.21 × 1,096.66
  4. Step 4: Simplify right side
    2,739x = 4,506,406.24
  5. Step 5: Solve for x
    x = 4,506,406.24/2,739
  6. Step 6: Final answer
    x = 1,645.27

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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.