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Finding the Fourth Proportional to 3,109.80, 4,664.80 and 1,162.20

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Solution

The fourth proportional to 3,109.80, 4,664.80 and 1,162.20 is: 1,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.80 : 4,664.80 = 1,162.20 : x
  2. Step 2: Convert to fraction form
    3,109.80/4,664.80 = 1,162.20/x
  3. Step 3: Cross multiply
    3,109.80x = 4,664.80 × 1,162.20
  4. Step 4: Simplify right side
    3,109.80x = 5,421,430.56
  5. Step 5: Solve for x
    x = 5,421,430.56/3,109.80
  6. Step 6: Final answer
    x = 1,743.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.