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Finding the Fourth Proportional to 1,738.27, 2,607.23 and 568.23

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Solution

The fourth proportional to 1,738.27, 2,607.23 and 568.23 is: 852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.27 : 2,607.23 = 568.23 : x
  2. Step 2: Convert to fraction form
    1,738.27/2,607.23 = 568.23/x
  3. Step 3: Cross multiply
    1,738.27x = 2,607.23 × 568.23
  4. Step 4: Simplify right side
    1,738.27x = 1,481,506.30
  5. Step 5: Solve for x
    x = 1,481,506.30/1,738.27
  6. Step 6: Final answer
    x = 852.29

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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.