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Finding the Fourth Proportional to 1,738.31, 2,607.68 and 568.43

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Solution

The fourth proportional to 1,738.31, 2,607.68 and 568.43 is: 852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.31 : 2,607.68 = 568.43 : x
  2. Step 2: Convert to fraction form
    1,738.31/2,607.68 = 568.43/x
  3. Step 3: Cross multiply
    1,738.31x = 2,607.68 × 568.43
  4. Step 4: Simplify right side
    1,738.31x = 1,482,267.66
  5. Step 5: Solve for x
    x = 1,482,267.66/1,738.31
  6. Step 6: Final answer
    x = 852.71

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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.