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Finding the Fourth Proportional to 2,180.09, 3,271.01 and 881.66

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Solution

The fourth proportional to 2,180.09, 3,271.01 and 881.66 is: 1,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.09 : 3,271.01 = 881.66 : x
  2. Step 2: Convert to fraction form
    2,180.09/3,271.01 = 881.66/x
  3. Step 3: Cross multiply
    2,180.09x = 3,271.01 × 881.66
  4. Step 4: Simplify right side
    2,180.09x = 2,883,914.27
  5. Step 5: Solve for x
    x = 2,883,914.27/2,180.09
  6. Step 6: Final answer
    x = 1,322.84

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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.