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Finding the Fourth Proportional to 1,867.96, 2,577.60 and 1,082.26

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Solution

The fourth proportional to 1,867.96, 2,577.60 and 1,082.26 is: 1,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.96 : 2,577.60 = 1,082.26 : x
  2. Step 2: Convert to fraction form
    1,867.96/2,577.60 = 1,082.26/x
  3. Step 3: Cross multiply
    1,867.96x = 2,577.60 × 1,082.26
  4. Step 4: Simplify right side
    1,867.96x = 2,789,633.38
  5. Step 5: Solve for x
    x = 2,789,633.38/1,867.96
  6. Step 6: Final answer
    x = 1,493.41

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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.