Home / 2,232.57-3,082.28-1,448.09

Finding the Fourth Proportional to 2,232.57, 3,082.28 and 1,448.09

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Solution

The fourth proportional to 2,232.57, 3,082.28 and 1,448.09 is: 1,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.57 : 3,082.28 = 1,448.09 : x
  2. Step 2: Convert to fraction form
    2,232.57/3,082.28 = 1,448.09/x
  3. Step 3: Cross multiply
    2,232.57x = 3,082.28 × 1,448.09
  4. Step 4: Simplify right side
    2,232.57x = 4,463,396.19
  5. Step 5: Solve for x
    x = 4,463,396.19/2,232.57
  6. Step 6: Final answer
    x = 1,999.22

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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.