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Finding the Fourth Proportional to 1,337.38, 1,845.81 and 1,296.34

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Solution

The fourth proportional to 1,337.38, 1,845.81 and 1,296.34 is: 1,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.38 : 1,845.81 = 1,296.34 : x
  2. Step 2: Convert to fraction form
    1,337.38/1,845.81 = 1,296.34/x
  3. Step 3: Cross multiply
    1,337.38x = 1,845.81 × 1,296.34
  4. Step 4: Simplify right side
    1,337.38x = 2,392,797.34
  5. Step 5: Solve for x
    x = 2,392,797.34/1,337.38
  6. Step 6: Final answer
    x = 1,789.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.