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Finding the Fourth Proportional to 2,091.02, 3,136.25 and 704.33

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Solution

The fourth proportional to 2,091.02, 3,136.25 and 704.33 is: 1,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.02 : 3,136.25 = 704.33 : x
  2. Step 2: Convert to fraction form
    2,091.02/3,136.25 = 704.33/x
  3. Step 3: Cross multiply
    2,091.02x = 3,136.25 × 704.33
  4. Step 4: Simplify right side
    2,091.02x = 2,208,952.80
  5. Step 5: Solve for x
    x = 2,208,952.80/2,091.02
  6. Step 6: Final answer
    x = 1,056.40

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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.