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Finding the Fourth Proportional to 2,091.59, 3,136.87 and 704.56

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Solution

The fourth proportional to 2,091.59, 3,136.87 and 704.56 is: 1,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.59 : 3,136.87 = 704.56 : x
  2. Step 2: Convert to fraction form
    2,091.59/3,136.87 = 704.56/x
  3. Step 3: Cross multiply
    2,091.59x = 3,136.87 × 704.56
  4. Step 4: Simplify right side
    2,091.59x = 2,210,113.13
  5. Step 5: Solve for x
    x = 2,210,113.13/2,091.59
  6. Step 6: Final answer
    x = 1,056.67

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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.