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Finding the Fourth Proportional to 2,782.09, 4,173.27 and 2,294.25

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Solution

The fourth proportional to 2,782.09, 4,173.27 and 2,294.25 is: 3,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.09 : 4,173.27 = 2,294.25 : x
  2. Step 2: Convert to fraction form
    2,782.09/4,173.27 = 2,294.25/x
  3. Step 3: Cross multiply
    2,782.09x = 4,173.27 × 2,294.25
  4. Step 4: Simplify right side
    2,782.09x = 9,574,524.70
  5. Step 5: Solve for x
    x = 9,574,524.70/2,782.09
  6. Step 6: Final answer
    x = 3,441.49

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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.