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Finding the Fourth Proportional to 3,109.56, 4,666.32 and 1,161.84

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Solution

The fourth proportional to 3,109.56, 4,666.32 and 1,161.84 is: 1,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.56 : 4,666.32 = 1,161.84 : x
  2. Step 2: Convert to fraction form
    3,109.56/4,666.32 = 1,161.84/x
  3. Step 3: Cross multiply
    3,109.56x = 4,666.32 × 1,161.84
  4. Step 4: Simplify right side
    3,109.56x = 5,421,517.23
  5. Step 5: Solve for x
    x = 5,421,517.23/3,109.56
  6. Step 6: Final answer
    x = 1,743.50

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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.