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Finding the Fourth Proportional to 2,298.13, 3,446.96 and 739.26

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Solution

The fourth proportional to 2,298.13, 3,446.96 and 739.26 is: 1,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.13 : 3,446.96 = 739.26 : x
  2. Step 2: Convert to fraction form
    2,298.13/3,446.96 = 739.26/x
  3. Step 3: Cross multiply
    2,298.13x = 3,446.96 × 739.26
  4. Step 4: Simplify right side
    2,298.13x = 2,548,199.65
  5. Step 5: Solve for x
    x = 2,548,199.65/2,298.13
  6. Step 6: Final answer
    x = 1,108.81

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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.