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Finding the Fourth Proportional to 1,795.23, 2,693.69 and 699.30

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Solution

The fourth proportional to 1,795.23, 2,693.69 and 699.30 is: 1,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.23 : 2,693.69 = 699.30 : x
  2. Step 2: Convert to fraction form
    1,795.23/2,693.69 = 699.30/x
  3. Step 3: Cross multiply
    1,795.23x = 2,693.69 × 699.30
  4. Step 4: Simplify right side
    1,795.23x = 1,883,704.02
  5. Step 5: Solve for x
    x = 1,883,704.02/1,795.23
  6. Step 6: Final answer
    x = 1,049.28

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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.