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Finding the Fourth Proportional to 1,693.90, 2,336.70 and 1,195.75

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Solution

The fourth proportional to 1,693.90, 2,336.70 and 1,195.75 is: 1,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.90 : 2,336.70 = 1,195.75 : x
  2. Step 2: Convert to fraction form
    1,693.90/2,336.70 = 1,195.75/x
  3. Step 3: Cross multiply
    1,693.90x = 2,336.70 × 1,195.75
  4. Step 4: Simplify right side
    1,693.90x = 2,794,092.86
  5. Step 5: Solve for x
    x = 2,794,092.86/1,693.90
  6. Step 6: Final answer
    x = 1,649.51

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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.