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Finding the Fourth Proportional to 1,337.83, 1,834.18 and 1,313.17

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Solution

The fourth proportional to 1,337.83, 1,834.18 and 1,313.17 is: 1,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.83 : 1,834.18 = 1,313.17 : x
  2. Step 2: Convert to fraction form
    1,337.83/1,834.18 = 1,313.17/x
  3. Step 3: Cross multiply
    1,337.83x = 1,834.18 × 1,313.17
  4. Step 4: Simplify right side
    1,337.83x = 2,408,593.43
  5. Step 5: Solve for x
    x = 2,408,593.43/1,337.83
  6. Step 6: Final answer
    x = 1,800.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.