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Finding the Fourth Proportional to 2,205.58, 3,308.82 and 744.70

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Solution

The fourth proportional to 2,205.58, 3,308.82 and 744.70 is: 1,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.58 : 3,308.82 = 744.70 : x
  2. Step 2: Convert to fraction form
    2,205.58/3,308.82 = 744.70/x
  3. Step 3: Cross multiply
    2,205.58x = 3,308.82 × 744.70
  4. Step 4: Simplify right side
    2,205.58x = 2,464,078.25
  5. Step 5: Solve for x
    x = 2,464,078.25/2,205.58
  6. Step 6: Final answer
    x = 1,117.20

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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.