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Finding the Fourth Proportional to 1,722.42, 2,583.99 and 568.17

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Solution

The fourth proportional to 1,722.42, 2,583.99 and 568.17 is: 852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.42 : 2,583.99 = 568.17 : x
  2. Step 2: Convert to fraction form
    1,722.42/2,583.99 = 568.17/x
  3. Step 3: Cross multiply
    1,722.42x = 2,583.99 × 568.17
  4. Step 4: Simplify right side
    1,722.42x = 1,468,145.60
  5. Step 5: Solve for x
    x = 1,468,145.60/1,722.42
  6. Step 6: Final answer
    x = 852.37

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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.