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Finding the Fourth Proportional to 1,796.06, 2,693.48 and 546.36

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Solution

The fourth proportional to 1,796.06, 2,693.48 and 546.36 is: 819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.06 : 2,693.48 = 546.36 : x
  2. Step 2: Convert to fraction form
    1,796.06/2,693.48 = 546.36/x
  3. Step 3: Cross multiply
    1,796.06x = 2,693.48 × 546.36
  4. Step 4: Simplify right side
    1,796.06x = 1,471,607.00
  5. Step 5: Solve for x
    x = 1,471,607.00/1,796.06
  6. Step 6: Final answer
    x = 819.36

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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.