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Finding the Fourth Proportional to 1,786.82, 2,466.48 and 1,599.98

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Solution

The fourth proportional to 1,786.82, 2,466.48 and 1,599.98 is: 2,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.82 : 2,466.48 = 1,599.98 : x
  2. Step 2: Convert to fraction form
    1,786.82/2,466.48 = 1,599.98/x
  3. Step 3: Cross multiply
    1,786.82x = 2,466.48 × 1,599.98
  4. Step 4: Simplify right side
    1,786.82x = 3,946,318.67
  5. Step 5: Solve for x
    x = 3,946,318.67/1,786.82
  6. Step 6: Final answer
    x = 2,208.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.