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Finding the Fourth Proportional to 1,682.67, 2,320.20 and 1,232.49

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Solution

The fourth proportional to 1,682.67, 2,320.20 and 1,232.49 is: 1,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.67 : 2,320.20 = 1,232.49 : x
  2. Step 2: Convert to fraction form
    1,682.67/2,320.20 = 1,232.49/x
  3. Step 3: Cross multiply
    1,682.67x = 2,320.20 × 1,232.49
  4. Step 4: Simplify right side
    1,682.67x = 2,859,623.30
  5. Step 5: Solve for x
    x = 2,859,623.30/1,682.67
  6. Step 6: Final answer
    x = 1,699.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.