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Finding the Fourth Proportional to 1,682.18, 2,522.90 and 527.66

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Solution

The fourth proportional to 1,682.18, 2,522.90 and 527.66 is: 791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.18 : 2,522.90 = 527.66 : x
  2. Step 2: Convert to fraction form
    1,682.18/2,522.90 = 527.66/x
  3. Step 3: Cross multiply
    1,682.18x = 2,522.90 × 527.66
  4. Step 4: Simplify right side
    1,682.18x = 1,331,233.41
  5. Step 5: Solve for x
    x = 1,331,233.41/1,682.18
  6. Step 6: Final answer
    x = 791.37

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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.