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Finding the Fourth Proportional to 1,722.38, 2,583.97 and 568.13

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Solution

The fourth proportional to 1,722.38, 2,583.97 and 568.13 is: 852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.38 : 2,583.97 = 568.13 : x
  2. Step 2: Convert to fraction form
    1,722.38/2,583.97 = 568.13/x
  3. Step 3: Cross multiply
    1,722.38x = 2,583.97 × 568.13
  4. Step 4: Simplify right side
    1,722.38x = 1,468,016.54
  5. Step 5: Solve for x
    x = 1,468,016.54/1,722.38
  6. Step 6: Final answer
    x = 852.32

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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.