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Finding the Fourth Proportional to 2,091.46, 3,136.74 and 858.82

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Solution

The fourth proportional to 2,091.46, 3,136.74 and 858.82 is: 1,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.46 : 3,136.74 = 858.82 : x
  2. Step 2: Convert to fraction form
    2,091.46/3,136.74 = 858.82/x
  3. Step 3: Cross multiply
    2,091.46x = 3,136.74 × 858.82
  4. Step 4: Simplify right side
    2,091.46x = 2,693,895.05
  5. Step 5: Solve for x
    x = 2,693,895.05/2,091.46
  6. Step 6: Final answer
    x = 1,288.05

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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.