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Finding the Fourth Proportional to 2,706.26, 4,060.63 and 1,471.82

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Solution

The fourth proportional to 2,706.26, 4,060.63 and 1,471.82 is: 2,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.26 : 4,060.63 = 1,471.82 : x
  2. Step 2: Convert to fraction form
    2,706.26/4,060.63 = 1,471.82/x
  3. Step 3: Cross multiply
    2,706.26x = 4,060.63 × 1,471.82
  4. Step 4: Simplify right side
    2,706.26x = 5,976,520.82
  5. Step 5: Solve for x
    x = 5,976,520.82/2,706.26
  6. Step 6: Final answer
    x = 2,208.41

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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.