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Finding the Fourth Proportional to 2,091.74, 3,137.51 and 858.84

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Solution

The fourth proportional to 2,091.74, 3,137.51 and 858.84 is: 1,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.74 : 3,137.51 = 858.84 : x
  2. Step 2: Convert to fraction form
    2,091.74/3,137.51 = 858.84/x
  3. Step 3: Cross multiply
    2,091.74x = 3,137.51 × 858.84
  4. Step 4: Simplify right side
    2,091.74x = 2,694,614.79
  5. Step 5: Solve for x
    x = 2,694,614.79/2,091.74
  6. Step 6: Final answer
    x = 1,288.22

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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.