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Finding the Fourth Proportional to 2,182.29, 3,272.95 and 622.27

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Solution

The fourth proportional to 2,182.29, 3,272.95 and 622.27 is: 933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.29 : 3,272.95 = 622.27 : x
  2. Step 2: Convert to fraction form
    2,182.29/3,272.95 = 622.27/x
  3. Step 3: Cross multiply
    2,182.29x = 3,272.95 × 622.27
  4. Step 4: Simplify right side
    2,182.29x = 2,036,658.60
  5. Step 5: Solve for x
    x = 2,036,658.60/2,182.29
  6. Step 6: Final answer
    x = 933.27

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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.