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Finding the Fourth Proportional to 1,834.04, 2,749.61 and 663.86

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Solution

The fourth proportional to 1,834.04, 2,749.61 and 663.86 is: 995.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.04 : 2,749.61 = 663.86 : x
  2. Step 2: Convert to fraction form
    1,834.04/2,749.61 = 663.86/x
  3. Step 3: Cross multiply
    1,834.04x = 2,749.61 × 663.86
  4. Step 4: Simplify right side
    1,834.04x = 1,825,339.03
  5. Step 5: Solve for x
    x = 1,825,339.03/1,834.04
  6. Step 6: Final answer
    x = 995.26

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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.