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Finding the Fourth Proportional to 2,074.26, 3,111.36 and 841.67

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Solution

The fourth proportional to 2,074.26, 3,111.36 and 841.67 is: 1,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.26 : 3,111.36 = 841.67 : x
  2. Step 2: Convert to fraction form
    2,074.26/3,111.36 = 841.67/x
  3. Step 3: Cross multiply
    2,074.26x = 3,111.36 × 841.67
  4. Step 4: Simplify right side
    2,074.26x = 2,618,727.31
  5. Step 5: Solve for x
    x = 2,618,727.31/2,074.26
  6. Step 6: Final answer
    x = 1,262.49

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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.