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Finding the Fourth Proportional to 2,842.62, 4,261.68 and 2,224.50

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Solution

The fourth proportional to 2,842.62, 4,261.68 and 2,224.50 is: 3,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.62 : 4,261.68 = 2,224.50 : x
  2. Step 2: Convert to fraction form
    2,842.62/4,261.68 = 2,224.50/x
  3. Step 3: Cross multiply
    2,842.62x = 4,261.68 × 2,224.50
  4. Step 4: Simplify right side
    2,842.62x = 9,480,107.16
  5. Step 5: Solve for x
    x = 9,480,107.16/2,842.62
  6. Step 6: Final answer
    x = 3,334.99

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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.