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Finding the Fourth Proportional to 2,706.89, 4,060.53 and 1,321.38

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Solution

The fourth proportional to 2,706.89, 4,060.53 and 1,321.38 is: 1,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.89 : 4,060.53 = 1,321.38 : x
  2. Step 2: Convert to fraction form
    2,706.89/4,060.53 = 1,321.38/x
  3. Step 3: Cross multiply
    2,706.89x = 4,060.53 × 1,321.38
  4. Step 4: Simplify right side
    2,706.89x = 5,365,503.13
  5. Step 5: Solve for x
    x = 5,365,503.13/2,706.89
  6. Step 6: Final answer
    x = 1,982.17

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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.