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Finding the Fourth Proportional to 3,166, 4,369.03 and 1,840.45

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Solution

The fourth proportional to 3,166, 4,369.03 and 1,840.45 is: 2,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166 : 4,369.03 = 1,840.45 : x
  2. Step 2: Convert to fraction form
    3,166/4,369.03 = 1,840.45/x
  3. Step 3: Cross multiply
    3,166x = 4,369.03 × 1,840.45
  4. Step 4: Simplify right side
    3,166x = 8,040,981.26
  5. Step 5: Solve for x
    x = 8,040,981.26/3,166
  6. Step 6: Final answer
    x = 2,539.79

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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.