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Finding the Fourth Proportional to 3,108.84, 4,290.34 and 1,782.44

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Solution

The fourth proportional to 3,108.84, 4,290.34 and 1,782.44 is: 2,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.84 : 4,290.34 = 1,782.44 : x
  2. Step 2: Convert to fraction form
    3,108.84/4,290.34 = 1,782.44/x
  3. Step 3: Cross multiply
    3,108.84x = 4,290.34 × 1,782.44
  4. Step 4: Simplify right side
    3,108.84x = 7,647,273.63
  5. Step 5: Solve for x
    x = 7,647,273.63/3,108.84
  6. Step 6: Final answer
    x = 2,459.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.