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Finding the Fourth Proportional to 1,757.39, 2,635.43 and 782.82

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Solution

The fourth proportional to 1,757.39, 2,635.43 and 782.82 is: 1,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.39 : 2,635.43 = 782.82 : x
  2. Step 2: Convert to fraction form
    1,757.39/2,635.43 = 782.82/x
  3. Step 3: Cross multiply
    1,757.39x = 2,635.43 × 782.82
  4. Step 4: Simplify right side
    1,757.39x = 2,063,063.40
  5. Step 5: Solve for x
    x = 2,063,063.40/1,757.39
  6. Step 6: Final answer
    x = 1,173.94

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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.