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Finding the Fourth Proportional to 2,091.15, 3,136.32 and 704.34

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Solution

The fourth proportional to 2,091.15, 3,136.32 and 704.34 is: 1,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.15 : 3,136.32 = 704.34 : x
  2. Step 2: Convert to fraction form
    2,091.15/3,136.32 = 704.34/x
  3. Step 3: Cross multiply
    2,091.15x = 3,136.32 × 704.34
  4. Step 4: Simplify right side
    2,091.15x = 2,209,035.63
  5. Step 5: Solve for x
    x = 2,209,035.63/2,091.15
  6. Step 6: Final answer
    x = 1,056.37

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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.