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Finding the Fourth Proportional to 2,265.92, 3,393.43 and 2,006.23

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Solution

The fourth proportional to 2,265.92, 3,393.43 and 2,006.23 is: 3,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.92 : 3,393.43 = 2,006.23 : x
  2. Step 2: Convert to fraction form
    2,265.92/3,393.43 = 2,006.23/x
  3. Step 3: Cross multiply
    2,265.92x = 3,393.43 × 2,006.23
  4. Step 4: Simplify right side
    2,265.92x = 6,807,987.57
  5. Step 5: Solve for x
    x = 6,807,987.57/2,265.92
  6. Step 6: Final answer
    x = 3,004.51

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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.