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Finding the Fourth Proportional to 1,722.84, 2,583.90 and 568.56

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Solution

The fourth proportional to 1,722.84, 2,583.90 and 568.56 is: 852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.84 : 2,583.90 = 568.56 : x
  2. Step 2: Convert to fraction form
    1,722.84/2,583.90 = 568.56/x
  3. Step 3: Cross multiply
    1,722.84x = 2,583.90 × 568.56
  4. Step 4: Simplify right side
    1,722.84x = 1,469,102.18
  5. Step 5: Solve for x
    x = 1,469,102.18/1,722.84
  6. Step 6: Final answer
    x = 852.72

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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.