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Finding the Fourth Proportional to 2,755.96, 3,803.14 and 1,576.95

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Solution

The fourth proportional to 2,755.96, 3,803.14 and 1,576.95 is: 2,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.96 : 3,803.14 = 1,576.95 : x
  2. Step 2: Convert to fraction form
    2,755.96/3,803.14 = 1,576.95/x
  3. Step 3: Cross multiply
    2,755.96x = 3,803.14 × 1,576.95
  4. Step 4: Simplify right side
    2,755.96x = 5,997,357.68
  5. Step 5: Solve for x
    x = 5,997,357.68/2,755.96
  6. Step 6: Final answer
    x = 2,176.14

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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.