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Finding the Fourth Proportional to 2,300.72, 3,449.37 and 739.84

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Solution

The fourth proportional to 2,300.72, 3,449.37 and 739.84 is: 1,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.72 : 3,449.37 = 739.84 : x
  2. Step 2: Convert to fraction form
    2,300.72/3,449.37 = 739.84/x
  3. Step 3: Cross multiply
    2,300.72x = 3,449.37 × 739.84
  4. Step 4: Simplify right side
    2,300.72x = 2,551,981.90
  5. Step 5: Solve for x
    x = 2,551,981.90/2,300.72
  6. Step 6: Final answer
    x = 1,109.21

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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.