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Finding the Fourth Proportional to 2,184.22, 3,275.97 and 723.34

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Solution

The fourth proportional to 2,184.22, 3,275.97 and 723.34 is: 1,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.22 : 3,275.97 = 723.34 : x
  2. Step 2: Convert to fraction form
    2,184.22/3,275.97 = 723.34/x
  3. Step 3: Cross multiply
    2,184.22x = 3,275.97 × 723.34
  4. Step 4: Simplify right side
    2,184.22x = 2,369,640.14
  5. Step 5: Solve for x
    x = 2,369,640.14/2,184.22
  6. Step 6: Final answer
    x = 1,084.89

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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.