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Finding the Fourth Proportional to 2,114.67, 2,918.49 and 1,759.97

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Solution

The fourth proportional to 2,114.67, 2,918.49 and 1,759.97 is: 2,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.67 : 2,918.49 = 1,759.97 : x
  2. Step 2: Convert to fraction form
    2,114.67/2,918.49 = 1,759.97/x
  3. Step 3: Cross multiply
    2,114.67x = 2,918.49 × 1,759.97
  4. Step 4: Simplify right side
    2,114.67x = 5,136,454.85
  5. Step 5: Solve for x
    x = 5,136,454.85/2,114.67
  6. Step 6: Final answer
    x = 2,428.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.