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Finding the Fourth Proportional to 2,765.44, 4,138.61 and 1,710.82

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Solution

The fourth proportional to 2,765.44, 4,138.61 and 1,710.82 is: 2,560.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.44 : 4,138.61 = 1,710.82 : x
  2. Step 2: Convert to fraction form
    2,765.44/4,138.61 = 1,710.82/x
  3. Step 3: Cross multiply
    2,765.44x = 4,138.61 × 1,710.82
  4. Step 4: Simplify right side
    2,765.44x = 7,080,418.00
  5. Step 5: Solve for x
    x = 7,080,418.00/2,765.44
  6. Step 6: Final answer
    x = 2,560.32

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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.