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Finding the Fourth Proportional to 2,757.93, 3,805.56 and 1,562.82

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Solution

The fourth proportional to 2,757.93, 3,805.56 and 1,562.82 is: 2,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.93 : 3,805.56 = 1,562.82 : x
  2. Step 2: Convert to fraction form
    2,757.93/3,805.56 = 1,562.82/x
  3. Step 3: Cross multiply
    2,757.93x = 3,805.56 × 1,562.82
  4. Step 4: Simplify right side
    2,757.93x = 5,947,405.28
  5. Step 5: Solve for x
    x = 5,947,405.28/2,757.93
  6. Step 6: Final answer
    x = 2,156.47

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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.