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Finding the Fourth Proportional to 1,837.76, 2,740.24 and 1,760.96

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Solution

The fourth proportional to 1,837.76, 2,740.24 and 1,760.96 is: 2,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.76 : 2,740.24 = 1,760.96 : x
  2. Step 2: Convert to fraction form
    1,837.76/2,740.24 = 1,760.96/x
  3. Step 3: Cross multiply
    1,837.76x = 2,740.24 × 1,760.96
  4. Step 4: Simplify right side
    1,837.76x = 4,825,453.03
  5. Step 5: Solve for x
    x = 4,825,453.03/1,837.76
  6. Step 6: Final answer
    x = 2,625.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.