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Finding the Fourth Proportional to 2,029.38, 3,044.06 and 490.38

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Solution

The fourth proportional to 2,029.38, 3,044.06 and 490.38 is: 735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.38 : 3,044.06 = 490.38 : x
  2. Step 2: Convert to fraction form
    2,029.38/3,044.06 = 490.38/x
  3. Step 3: Cross multiply
    2,029.38x = 3,044.06 × 490.38
  4. Step 4: Simplify right side
    2,029.38x = 1,492,746.14
  5. Step 5: Solve for x
    x = 1,492,746.14/2,029.38
  6. Step 6: Final answer
    x = 735.57

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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.