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Finding the Fourth Proportional to 2,205.73, 3,308.90 and 745.30

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Solution

The fourth proportional to 2,205.73, 3,308.90 and 745.30 is: 1,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.73 : 3,308.90 = 745.30 : x
  2. Step 2: Convert to fraction form
    2,205.73/3,308.90 = 745.30/x
  3. Step 3: Cross multiply
    2,205.73x = 3,308.90 × 745.30
  4. Step 4: Simplify right side
    2,205.73x = 2,466,123.17
  5. Step 5: Solve for x
    x = 2,466,123.17/2,205.73
  6. Step 6: Final answer
    x = 1,118.05

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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.