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Finding the Fourth Proportional to 2,704.24, 4,049.02 and 1,402.97

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Solution

The fourth proportional to 2,704.24, 4,049.02 and 1,402.97 is: 2,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.24 : 4,049.02 = 1,402.97 : x
  2. Step 2: Convert to fraction form
    2,704.24/4,049.02 = 1,402.97/x
  3. Step 3: Cross multiply
    2,704.24x = 4,049.02 × 1,402.97
  4. Step 4: Simplify right side
    2,704.24x = 5,680,653.59
  5. Step 5: Solve for x
    x = 5,680,653.59/2,704.24
  6. Step 6: Final answer
    x = 2,100.65

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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.