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Finding the Fourth Proportional to 2,091.74, 3,136.77 and 859.10

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Solution

The fourth proportional to 2,091.74, 3,136.77 and 859.10 is: 1,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.74 : 3,136.77 = 859.10 : x
  2. Step 2: Convert to fraction form
    2,091.74/3,136.77 = 859.10/x
  3. Step 3: Cross multiply
    2,091.74x = 3,136.77 × 859.10
  4. Step 4: Simplify right side
    2,091.74x = 2,694,799.11
  5. Step 5: Solve for x
    x = 2,694,799.11/2,091.74
  6. Step 6: Final answer
    x = 1,288.31

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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.