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Finding the Fourth Proportional to 3,109.38, 4,290.44 and 1,782.84

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Solution

The fourth proportional to 3,109.38, 4,290.44 and 1,782.84 is: 2,460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.38 : 4,290.44 = 1,782.84 : x
  2. Step 2: Convert to fraction form
    3,109.38/4,290.44 = 1,782.84/x
  3. Step 3: Cross multiply
    3,109.38x = 4,290.44 × 1,782.84
  4. Step 4: Simplify right side
    3,109.38x = 7,649,168.05
  5. Step 5: Solve for x
    x = 7,649,168.05/3,109.38
  6. Step 6: Final answer
    x = 2,460.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.