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Finding the Fourth Proportional to 1,682.87, 2,321.55 and 1,185.79

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Solution

The fourth proportional to 1,682.87, 2,321.55 and 1,185.79 is: 1,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.87 : 2,321.55 = 1,185.79 : x
  2. Step 2: Convert to fraction form
    1,682.87/2,321.55 = 1,185.79/x
  3. Step 3: Cross multiply
    1,682.87x = 2,321.55 × 1,185.79
  4. Step 4: Simplify right side
    1,682.87x = 2,752,870.77
  5. Step 5: Solve for x
    x = 2,752,870.77/1,682.87
  6. Step 6: Final answer
    x = 1,635.82

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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.