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Finding the Fourth Proportional to 1,682.82, 2,522.37 and 1,133.64

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Solution

The fourth proportional to 1,682.82, 2,522.37 and 1,133.64 is: 1,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.82 : 2,522.37 = 1,133.64 : x
  2. Step 2: Convert to fraction form
    1,682.82/2,522.37 = 1,133.64/x
  3. Step 3: Cross multiply
    1,682.82x = 2,522.37 × 1,133.64
  4. Step 4: Simplify right side
    1,682.82x = 2,859,459.53
  5. Step 5: Solve for x
    x = 2,859,459.53/1,682.82
  6. Step 6: Final answer
    x = 1,699.21

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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.