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Finding the Fourth Proportional to 2,768.34, 4,131.84 and 2,321.22

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Solution

The fourth proportional to 2,768.34, 4,131.84 and 2,321.22 is: 3,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.34 : 4,131.84 = 2,321.22 : x
  2. Step 2: Convert to fraction form
    2,768.34/4,131.84 = 2,321.22/x
  3. Step 3: Cross multiply
    2,768.34x = 4,131.84 × 2,321.22
  4. Step 4: Simplify right side
    2,768.34x = 9,590,909.64
  5. Step 5: Solve for x
    x = 9,590,909.64/2,768.34
  6. Step 6: Final answer
    x = 3,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.