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Finding the Fourth Proportional to 2,074.39, 3,110.59 and 757.21

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Solution

The fourth proportional to 2,074.39, 3,110.59 and 757.21 is: 1,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.39 : 3,110.59 = 757.21 : x
  2. Step 2: Convert to fraction form
    2,074.39/3,110.59 = 757.21/x
  3. Step 3: Cross multiply
    2,074.39x = 3,110.59 × 757.21
  4. Step 4: Simplify right side
    2,074.39x = 2,355,369.85
  5. Step 5: Solve for x
    x = 2,355,369.85/2,074.39
  6. Step 6: Final answer
    x = 1,135.45

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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.