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Finding the Fourth Proportional to 2,706.39, 4,060.68 and 1,472.22

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Solution

The fourth proportional to 2,706.39, 4,060.68 and 1,472.22 is: 2,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.39 : 4,060.68 = 1,472.22 : x
  2. Step 2: Convert to fraction form
    2,706.39/4,060.68 = 1,472.22/x
  3. Step 3: Cross multiply
    2,706.39x = 4,060.68 × 1,472.22
  4. Step 4: Simplify right side
    2,706.39x = 5,978,214.31
  5. Step 5: Solve for x
    x = 5,978,214.31/2,706.39
  6. Step 6: Final answer
    x = 2,208.93

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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.