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Finding the Fourth Proportional to 1,835.31, 2,751.30 and 680.25

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Solution

The fourth proportional to 1,835.31, 2,751.30 and 680.25 is: 1,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.31 : 2,751.30 = 680.25 : x
  2. Step 2: Convert to fraction form
    1,835.31/2,751.30 = 680.25/x
  3. Step 3: Cross multiply
    1,835.31x = 2,751.30 × 680.25
  4. Step 4: Simplify right side
    1,835.31x = 1,871,571.83
  5. Step 5: Solve for x
    x = 1,871,571.83/1,835.31
  6. Step 6: Final answer
    x = 1,019.76

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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.