Home / 1,644.24-2,268.36-1,022.16

Finding the Fourth Proportional to 1,644.24, 2,268.36 and 1,022.16

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Solution

The fourth proportional to 1,644.24, 2,268.36 and 1,022.16 is: 1,410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.24 : 2,268.36 = 1,022.16 : x
  2. Step 2: Convert to fraction form
    1,644.24/2,268.36 = 1,022.16/x
  3. Step 3: Cross multiply
    1,644.24x = 2,268.36 × 1,022.16
  4. Step 4: Simplify right side
    1,644.24x = 2,318,626.86
  5. Step 5: Solve for x
    x = 2,318,626.86/1,644.24
  6. Step 6: Final answer
    x = 1,410.15

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Why These Related Problems?

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