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Finding the Fourth Proportional to 1,765.98, 2,645.31 and 1,375.56

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Solution

The fourth proportional to 1,765.98, 2,645.31 and 1,375.56 is: 2,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.98 : 2,645.31 = 1,375.56 : x
  2. Step 2: Convert to fraction form
    1,765.98/2,645.31 = 1,375.56/x
  3. Step 3: Cross multiply
    1,765.98x = 2,645.31 × 1,375.56
  4. Step 4: Simplify right side
    1,765.98x = 3,638,782.62
  5. Step 5: Solve for x
    x = 3,638,782.62/1,765.98
  6. Step 6: Final answer
    x = 2,060.49

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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.