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Finding the Fourth Proportional to 2,113.21, 3,166.35 and 725.80

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Solution

The fourth proportional to 2,113.21, 3,166.35 and 725.80 is: 1,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.21 : 3,166.35 = 725.80 : x
  2. Step 2: Convert to fraction form
    2,113.21/3,166.35 = 725.80/x
  3. Step 3: Cross multiply
    2,113.21x = 3,166.35 × 725.80
  4. Step 4: Simplify right side
    2,113.21x = 2,298,136.83
  5. Step 5: Solve for x
    x = 2,298,136.83/2,113.21
  6. Step 6: Final answer
    x = 1,087.51

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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.