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Finding the Fourth Proportional to 2,103.90, 3,155.05 and 698.05

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Solution

The fourth proportional to 2,103.90, 3,155.05 and 698.05 is: 1,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.90 : 3,155.05 = 698.05 : x
  2. Step 2: Convert to fraction form
    2,103.90/3,155.05 = 698.05/x
  3. Step 3: Cross multiply
    2,103.90x = 3,155.05 × 698.05
  4. Step 4: Simplify right side
    2,103.90x = 2,202,387.47
  5. Step 5: Solve for x
    x = 2,202,387.47/2,103.90
  6. Step 6: Final answer
    x = 1,046.81

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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.