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Finding the Fourth Proportional to 2,299.93, 3,450.13 and 739.53

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Solution

The fourth proportional to 2,299.93, 3,450.13 and 739.53 is: 1,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.93 : 3,450.13 = 739.53 : x
  2. Step 2: Convert to fraction form
    2,299.93/3,450.13 = 739.53/x
  3. Step 3: Cross multiply
    2,299.93x = 3,450.13 × 739.53
  4. Step 4: Simplify right side
    2,299.93x = 2,551,474.64
  5. Step 5: Solve for x
    x = 2,551,474.64/2,299.93
  6. Step 6: Final answer
    x = 1,109.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.