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Finding the Fourth Proportional to 2,091.45, 3,137.19 and 858

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Solution

The fourth proportional to 2,091.45, 3,137.19 and 858 is: 1,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.45 : 3,137.19 = 858 : x
  2. Step 2: Convert to fraction form
    2,091.45/3,137.19 = 858/x
  3. Step 3: Cross multiply
    2,091.45x = 3,137.19 × 858
  4. Step 4: Simplify right side
    2,091.45x = 2,691,709.02
  5. Step 5: Solve for x
    x = 2,691,709.02/2,091.45
  6. Step 6: Final answer
    x = 1,287.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.