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Finding the Fourth Proportional to 2,425.64, 3,348.42 and 1,682.06

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Solution

The fourth proportional to 2,425.64, 3,348.42 and 1,682.06 is: 2,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.64 : 3,348.42 = 1,682.06 : x
  2. Step 2: Convert to fraction form
    2,425.64/3,348.42 = 1,682.06/x
  3. Step 3: Cross multiply
    2,425.64x = 3,348.42 × 1,682.06
  4. Step 4: Simplify right side
    2,425.64x = 5,632,243.35
  5. Step 5: Solve for x
    x = 5,632,243.35/2,425.64
  6. Step 6: Final answer
    x = 2,321.96

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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.