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Finding the Fourth Proportional to 1,722.57, 2,568.95 and 1,464.21

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Solution

The fourth proportional to 1,722.57, 2,568.95 and 1,464.21 is: 2,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.57 : 2,568.95 = 1,464.21 : x
  2. Step 2: Convert to fraction form
    1,722.57/2,568.95 = 1,464.21/x
  3. Step 3: Cross multiply
    1,722.57x = 2,568.95 × 1,464.21
  4. Step 4: Simplify right side
    1,722.57x = 3,761,480.45
  5. Step 5: Solve for x
    x = 3,761,480.45/1,722.57
  6. Step 6: Final answer
    x = 2,183.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.