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Finding the Fourth Proportional to 2,068.34, 3,104.53 and 1,682.78

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Solution

The fourth proportional to 2,068.34, 3,104.53 and 1,682.78 is: 2,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.34 : 3,104.53 = 1,682.78 : x
  2. Step 2: Convert to fraction form
    2,068.34/3,104.53 = 1,682.78/x
  3. Step 3: Cross multiply
    2,068.34x = 3,104.53 × 1,682.78
  4. Step 4: Simplify right side
    2,068.34x = 5,224,221.26
  5. Step 5: Solve for x
    x = 5,224,221.26/2,068.34
  6. Step 6: Final answer
    x = 2,525.81

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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.