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Finding the Fourth Proportional to 2,763, 3,812.94 and 1,521

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Solution

The fourth proportional to 2,763, 3,812.94 and 1,521 is: 2,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763 : 3,812.94 = 1,521 : x
  2. Step 2: Convert to fraction form
    2,763/3,812.94 = 1,521/x
  3. Step 3: Cross multiply
    2,763x = 3,812.94 × 1,521
  4. Step 4: Simplify right side
    2,763x = 5,799,481.74
  5. Step 5: Solve for x
    x = 5,799,481.74/2,763
  6. Step 6: Final answer
    x = 2,098.98

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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.