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Finding the Fourth Proportional to 2,706.30, 4,057.02 and 1,408.68

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Solution

The fourth proportional to 2,706.30, 4,057.02 and 1,408.68 is: 2,111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.30 : 4,057.02 = 1,408.68 : x
  2. Step 2: Convert to fraction form
    2,706.30/4,057.02 = 1,408.68/x
  3. Step 3: Cross multiply
    2,706.30x = 4,057.02 × 1,408.68
  4. Step 4: Simplify right side
    2,706.30x = 5,715,042.93
  5. Step 5: Solve for x
    x = 5,715,042.93/2,706.30
  6. Step 6: Final answer
    x = 2,111.76

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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.