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Finding the Fourth Proportional to 2,755.72, 4,134.10 and 1,774.92

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Solution

The fourth proportional to 2,755.72, 4,134.10 and 1,774.92 is: 2,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.72 : 4,134.10 = 1,774.92 : x
  2. Step 2: Convert to fraction form
    2,755.72/4,134.10 = 1,774.92/x
  3. Step 3: Cross multiply
    2,755.72x = 4,134.10 × 1,774.92
  4. Step 4: Simplify right side
    2,755.72x = 7,337,696.77
  5. Step 5: Solve for x
    x = 7,337,696.77/2,755.72
  6. Step 6: Final answer
    x = 2,662.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.