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Finding the Fourth Proportional to 2,029.24, 3,043.85 and 490.24

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Solution

The fourth proportional to 2,029.24, 3,043.85 and 490.24 is: 735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.24 : 3,043.85 = 490.24 : x
  2. Step 2: Convert to fraction form
    2,029.24/3,043.85 = 490.24/x
  3. Step 3: Cross multiply
    2,029.24x = 3,043.85 × 490.24
  4. Step 4: Simplify right side
    2,029.24x = 1,492,217.02
  5. Step 5: Solve for x
    x = 1,492,217.02/2,029.24
  6. Step 6: Final answer
    x = 735.36

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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.