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Finding the Fourth Proportional to 2,091.03, 3,136.43 and 704.25

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Solution

The fourth proportional to 2,091.03, 3,136.43 and 704.25 is: 1,056.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.03 : 3,136.43 = 704.25 : x
  2. Step 2: Convert to fraction form
    2,091.03/3,136.43 = 704.25/x
  3. Step 3: Cross multiply
    2,091.03x = 3,136.43 × 704.25
  4. Step 4: Simplify right side
    2,091.03x = 2,208,827.31
  5. Step 5: Solve for x
    x = 2,208,827.31/2,091.03
  6. Step 6: Final answer
    x = 1,056.33

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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.