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Finding the Fourth Proportional to 1,645.94, 2,474.58 and 1,323.56

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Solution

The fourth proportional to 1,645.94, 2,474.58 and 1,323.56 is: 1,989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.94 : 2,474.58 = 1,323.56 : x
  2. Step 2: Convert to fraction form
    1,645.94/2,474.58 = 1,323.56/x
  3. Step 3: Cross multiply
    1,645.94x = 2,474.58 × 1,323.56
  4. Step 4: Simplify right side
    1,645.94x = 3,275,255.10
  5. Step 5: Solve for x
    x = 3,275,255.10/1,645.94
  6. Step 6: Final answer
    x = 1,989.90

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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.