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Finding the Fourth Proportional to 2,184.66, 3,272.22 and 1,771.88

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Solution

The fourth proportional to 2,184.66, 3,272.22 and 1,771.88 is: 2,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.66 : 3,272.22 = 1,771.88 : x
  2. Step 2: Convert to fraction form
    2,184.66/3,272.22 = 1,771.88/x
  3. Step 3: Cross multiply
    2,184.66x = 3,272.22 × 1,771.88
  4. Step 4: Simplify right side
    2,184.66x = 5,797,964.81
  5. Step 5: Solve for x
    x = 5,797,964.81/2,184.66
  6. Step 6: Final answer
    x = 2,653.94

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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.