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Finding the Fourth Proportional to 1,732.87, 2,390.81 and 986.83

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Solution

The fourth proportional to 1,732.87, 2,390.81 and 986.83 is: 1,361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.87 : 2,390.81 = 986.83 : x
  2. Step 2: Convert to fraction form
    1,732.87/2,390.81 = 986.83/x
  3. Step 3: Cross multiply
    1,732.87x = 2,390.81 × 986.83
  4. Step 4: Simplify right side
    1,732.87x = 2,359,323.03
  5. Step 5: Solve for x
    x = 2,359,323.03/1,732.87
  6. Step 6: Final answer
    x = 1,361.51

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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.