Home / 1,827.94-2,523.78-1,082.14

Finding the Fourth Proportional to 1,827.94, 2,523.78 and 1,082.14

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Solution

The fourth proportional to 1,827.94, 2,523.78 and 1,082.14 is: 1,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.94 : 2,523.78 = 1,082.14 : x
  2. Step 2: Convert to fraction form
    1,827.94/2,523.78 = 1,082.14/x
  3. Step 3: Cross multiply
    1,827.94x = 2,523.78 × 1,082.14
  4. Step 4: Simplify right side
    1,827.94x = 2,731,083.29
  5. Step 5: Solve for x
    x = 2,731,083.29/1,827.94
  6. Step 6: Final answer
    x = 1,494.08

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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.