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Finding the Fourth Proportional to 2,029.60, 2,802 and 1,469.49

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Solution

The fourth proportional to 2,029.60, 2,802 and 1,469.49 is: 2,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.60 : 2,802 = 1,469.49 : x
  2. Step 2: Convert to fraction form
    2,029.60/2,802 = 1,469.49/x
  3. Step 3: Cross multiply
    2,029.60x = 2,802 × 1,469.49
  4. Step 4: Simplify right side
    2,029.60x = 4,117,510.98
  5. Step 5: Solve for x
    x = 4,117,510.98/2,029.60
  6. Step 6: Final answer
    x = 2,028.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.