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Finding the Fourth Proportional to 2,782.34, 4,171.44 and 1,686.44

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Solution

The fourth proportional to 2,782.34, 4,171.44 and 1,686.44 is: 2,528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.34 : 4,171.44 = 1,686.44 : x
  2. Step 2: Convert to fraction form
    2,782.34/4,171.44 = 1,686.44/x
  3. Step 3: Cross multiply
    2,782.34x = 4,171.44 × 1,686.44
  4. Step 4: Simplify right side
    2,782.34x = 7,034,883.27
  5. Step 5: Solve for x
    x = 7,034,883.27/2,782.34
  6. Step 6: Final answer
    x = 2,528.41

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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.