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Finding the Fourth Proportional to 2,200.46, 3,300.98 and 739.31

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Solution

The fourth proportional to 2,200.46, 3,300.98 and 739.31 is: 1,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.46 : 3,300.98 = 739.31 : x
  2. Step 2: Convert to fraction form
    2,200.46/3,300.98 = 739.31/x
  3. Step 3: Cross multiply
    2,200.46x = 3,300.98 × 739.31
  4. Step 4: Simplify right side
    2,200.46x = 2,440,427.32
  5. Step 5: Solve for x
    x = 2,440,427.32/2,200.46
  6. Step 6: Final answer
    x = 1,109.06

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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.