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Finding the Fourth Proportional to 2,029.52, 3,043.68 and 730.69

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Solution

The fourth proportional to 2,029.52, 3,043.68 and 730.69 is: 1,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.52 : 3,043.68 = 730.69 : x
  2. Step 2: Convert to fraction form
    2,029.52/3,043.68 = 730.69/x
  3. Step 3: Cross multiply
    2,029.52x = 3,043.68 × 730.69
  4. Step 4: Simplify right side
    2,029.52x = 2,223,976.19
  5. Step 5: Solve for x
    x = 2,223,976.19/2,029.52
  6. Step 6: Final answer
    x = 1,095.81

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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.