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Finding the Fourth Proportional to 1,745.39, 2,408.03 and 1,082.00

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Solution

The fourth proportional to 1,745.39, 2,408.03 and 1,082.00 is: 1,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.39 : 2,408.03 = 1,082.00 : x
  2. Step 2: Convert to fraction form
    1,745.39/2,408.03 = 1,082.00/x
  3. Step 3: Cross multiply
    1,745.39x = 2,408.03 × 1,082.00
  4. Step 4: Simplify right side
    1,745.39x = 2,605,476.42
  5. Step 5: Solve for x
    x = 2,605,476.42/1,745.39
  6. Step 6: Final answer
    x = 1,492.78

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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.