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Finding the Fourth Proportional to 2,205.67, 3,308.51 and 1,108.93

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Solution

The fourth proportional to 2,205.67, 3,308.51 and 1,108.93 is: 1,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.67 : 3,308.51 = 1,108.93 : x
  2. Step 2: Convert to fraction form
    2,205.67/3,308.51 = 1,108.93/x
  3. Step 3: Cross multiply
    2,205.67x = 3,308.51 × 1,108.93
  4. Step 4: Simplify right side
    2,205.67x = 3,668,905.99
  5. Step 5: Solve for x
    x = 3,668,905.99/2,205.67
  6. Step 6: Final answer
    x = 1,663.40

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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.