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Finding the Fourth Proportional to 2,063.54, 2,846.49 and 1,277.03

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Solution

The fourth proportional to 2,063.54, 2,846.49 and 1,277.03 is: 1,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.54 : 2,846.49 = 1,277.03 : x
  2. Step 2: Convert to fraction form
    2,063.54/2,846.49 = 1,277.03/x
  3. Step 3: Cross multiply
    2,063.54x = 2,846.49 × 1,277.03
  4. Step 4: Simplify right side
    2,063.54x = 3,635,053.12
  5. Step 5: Solve for x
    x = 3,635,053.12/2,063.54
  6. Step 6: Final answer
    x = 1,761.56

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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.