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Finding the Fourth Proportional to 2,755.52, 4,128.96 and 2,342.96

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Solution

The fourth proportional to 2,755.52, 4,128.96 and 2,342.96 is: 3,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.52 : 4,128.96 = 2,342.96 : x
  2. Step 2: Convert to fraction form
    2,755.52/4,128.96 = 2,342.96/x
  3. Step 3: Cross multiply
    2,755.52x = 4,128.96 × 2,342.96
  4. Step 4: Simplify right side
    2,755.52x = 9,673,988.12
  5. Step 5: Solve for x
    x = 9,673,988.12/2,755.52
  6. Step 6: Final answer
    x = 3,510.77

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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.