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Finding the Fourth Proportional to 2,603.55, 3,906.29 and 1,217.34

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Solution

The fourth proportional to 2,603.55, 3,906.29 and 1,217.34 is: 1,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.55 : 3,906.29 = 1,217.34 : x
  2. Step 2: Convert to fraction form
    2,603.55/3,906.29 = 1,217.34/x
  3. Step 3: Cross multiply
    2,603.55x = 3,906.29 × 1,217.34
  4. Step 4: Simplify right side
    2,603.55x = 4,755,286.11
  5. Step 5: Solve for x
    x = 4,755,286.11/2,603.55
  6. Step 6: Final answer
    x = 1,826.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.