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Finding the Fourth Proportional to 2,755, 4,135.74 and 2,298.16

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Solution

The fourth proportional to 2,755, 4,135.74 and 2,298.16 is: 3,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755 : 4,135.74 = 2,298.16 : x
  2. Step 2: Convert to fraction form
    2,755/4,135.74 = 2,298.16/x
  3. Step 3: Cross multiply
    2,755x = 4,135.74 × 2,298.16
  4. Step 4: Simplify right side
    2,755x = 9,504,592.24
  5. Step 5: Solve for x
    x = 9,504,592.24/2,755
  6. Step 6: Final answer
    x = 3,449.94

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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.