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Finding the Fourth Proportional to 3,296.58, 4,945.04 and 1,834.65

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Solution

The fourth proportional to 3,296.58, 4,945.04 and 1,834.65 is: 2,752.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.58 : 4,945.04 = 1,834.65 : x
  2. Step 2: Convert to fraction form
    3,296.58/4,945.04 = 1,834.65/x
  3. Step 3: Cross multiply
    3,296.58x = 4,945.04 × 1,834.65
  4. Step 4: Simplify right side
    3,296.58x = 9,072,408.46
  5. Step 5: Solve for x
    x = 9,072,408.46/3,296.58
  6. Step 6: Final answer
    x = 2,752.07

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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.