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Finding the Fourth Proportional to 2,609.92, 3,894.64 and 2,333.04

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Solution

The fourth proportional to 2,609.92, 3,894.64 and 2,333.04 is: 3,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.92 : 3,894.64 = 2,333.04 : x
  2. Step 2: Convert to fraction form
    2,609.92/3,894.64 = 2,333.04/x
  3. Step 3: Cross multiply
    2,609.92x = 3,894.64 × 2,333.04
  4. Step 4: Simplify right side
    2,609.92x = 9,086,350.91
  5. Step 5: Solve for x
    x = 9,086,350.91/2,609.92
  6. Step 6: Final answer
    x = 3,481.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.