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Finding the Fourth Proportional to 1,682.34, 2,522.52 and 694.86

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Solution

The fourth proportional to 1,682.34, 2,522.52 and 694.86 is: 1,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.34 : 2,522.52 = 694.86 : x
  2. Step 2: Convert to fraction form
    1,682.34/2,522.52 = 694.86/x
  3. Step 3: Cross multiply
    1,682.34x = 2,522.52 × 694.86
  4. Step 4: Simplify right side
    1,682.34x = 1,752,798.25
  5. Step 5: Solve for x
    x = 1,752,798.25/1,682.34
  6. Step 6: Final answer
    x = 1,041.88

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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.