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Finding the Fourth Proportional to 3,109.52, 4,290.99 and 1,693.20

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Solution

The fourth proportional to 3,109.52, 4,290.99 and 1,693.20 is: 2,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.52 : 4,290.99 = 1,693.20 : x
  2. Step 2: Convert to fraction form
    3,109.52/4,290.99 = 1,693.20/x
  3. Step 3: Cross multiply
    3,109.52x = 4,290.99 × 1,693.20
  4. Step 4: Simplify right side
    3,109.52x = 7,265,505.43
  5. Step 5: Solve for x
    x = 7,265,505.43/3,109.52
  6. Step 6: Final answer
    x = 2,336.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.