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Finding the Fourth Proportional to 2,755.52, 3,805.08 and 2,055.68

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Solution

The fourth proportional to 2,755.52, 3,805.08 and 2,055.68 is: 2,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.52 : 3,805.08 = 2,055.68 : x
  2. Step 2: Convert to fraction form
    2,755.52/3,805.08 = 2,055.68/x
  3. Step 3: Cross multiply
    2,755.52x = 3,805.08 × 2,055.68
  4. Step 4: Simplify right side
    2,755.52x = 7,822,026.85
  5. Step 5: Solve for x
    x = 7,822,026.85/2,755.52
  6. Step 6: Final answer
    x = 2,838.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.