Home / 1,828.17-2,522.61-1,082.16

Finding the Fourth Proportional to 1,828.17, 2,522.61 and 1,082.16

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Solution

The fourth proportional to 1,828.17, 2,522.61 and 1,082.16 is: 1,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.17 : 2,522.61 = 1,082.16 : x
  2. Step 2: Convert to fraction form
    1,828.17/2,522.61 = 1,082.16/x
  3. Step 3: Cross multiply
    1,828.17x = 2,522.61 × 1,082.16
  4. Step 4: Simplify right side
    1,828.17x = 2,729,867.64
  5. Step 5: Solve for x
    x = 2,729,867.64/1,828.17
  6. Step 6: Final answer
    x = 1,493.22

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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.