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Finding the Fourth Proportional to 1,682.88, 2,522.70 and 861.54

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Solution

The fourth proportional to 1,682.88, 2,522.70 and 861.54 is: 1,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.88 : 2,522.70 = 861.54 : x
  2. Step 2: Convert to fraction form
    1,682.88/2,522.70 = 861.54/x
  3. Step 3: Cross multiply
    1,682.88x = 2,522.70 × 861.54
  4. Step 4: Simplify right side
    1,682.88x = 2,173,406.96
  5. Step 5: Solve for x
    x = 2,173,406.96/1,682.88
  6. Step 6: Final answer
    x = 1,291.48

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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.