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Finding the Fourth Proportional to 1,682.07, 2,523.90 and 902.73

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Solution

The fourth proportional to 1,682.07, 2,523.90 and 902.73 is: 1,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.07 : 2,523.90 = 902.73 : x
  2. Step 2: Convert to fraction form
    1,682.07/2,523.90 = 902.73/x
  3. Step 3: Cross multiply
    1,682.07x = 2,523.90 × 902.73
  4. Step 4: Simplify right side
    1,682.07x = 2,278,400.25
  5. Step 5: Solve for x
    x = 2,278,400.25/1,682.07
  6. Step 6: Final answer
    x = 1,354.52

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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.