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Finding the Fourth Proportional to 2,664.84, 3,677.49 and 1,469.82

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Solution

The fourth proportional to 2,664.84, 3,677.49 and 1,469.82 is: 2,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.84 : 3,677.49 = 1,469.82 : x
  2. Step 2: Convert to fraction form
    2,664.84/3,677.49 = 1,469.82/x
  3. Step 3: Cross multiply
    2,664.84x = 3,677.49 × 1,469.82
  4. Step 4: Simplify right side
    2,664.84x = 5,405,248.35
  5. Step 5: Solve for x
    x = 5,405,248.35/2,664.84
  6. Step 6: Final answer
    x = 2,028.36

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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.