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Finding the Fourth Proportional to 2,760.89, 4,141.19 and 1,029.38

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Solution

The fourth proportional to 2,760.89, 4,141.19 and 1,029.38 is: 1,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.89 : 4,141.19 = 1,029.38 : x
  2. Step 2: Convert to fraction form
    2,760.89/4,141.19 = 1,029.38/x
  3. Step 3: Cross multiply
    2,760.89x = 4,141.19 × 1,029.38
  4. Step 4: Simplify right side
    2,760.89x = 4,262,840.03
  5. Step 5: Solve for x
    x = 4,262,840.03/2,760.89
  6. Step 6: Final answer
    x = 1,544.01

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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.