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Finding the Fourth Proportional to 2,170.81, 3,257.36 and 1,184.33

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Solution

The fourth proportional to 2,170.81, 3,257.36 and 1,184.33 is: 1,777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.81 : 3,257.36 = 1,184.33 : x
  2. Step 2: Convert to fraction form
    2,170.81/3,257.36 = 1,184.33/x
  3. Step 3: Cross multiply
    2,170.81x = 3,257.36 × 1,184.33
  4. Step 4: Simplify right side
    2,170.81x = 3,857,783.25
  5. Step 5: Solve for x
    x = 3,857,783.25/2,170.81
  6. Step 6: Final answer
    x = 1,777.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.