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Finding the Fourth Proportional to 2,681.80, 4,015.50 and 2,186.19

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Solution

The fourth proportional to 2,681.80, 4,015.50 and 2,186.19 is: 3,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.80 : 4,015.50 = 2,186.19 : x
  2. Step 2: Convert to fraction form
    2,681.80/4,015.50 = 2,186.19/x
  3. Step 3: Cross multiply
    2,681.80x = 4,015.50 × 2,186.19
  4. Step 4: Simplify right side
    2,681.80x = 8,778,645.95
  5. Step 5: Solve for x
    x = 8,778,645.95/2,681.80
  6. Step 6: Final answer
    x = 3,273.42

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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.