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Finding the Fourth Proportional to 1,644.89, 2,456.48 and 1,463.45

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Solution

The fourth proportional to 1,644.89, 2,456.48 and 1,463.45 is: 2,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.89 : 2,456.48 = 1,463.45 : x
  2. Step 2: Convert to fraction form
    1,644.89/2,456.48 = 1,463.45/x
  3. Step 3: Cross multiply
    1,644.89x = 2,456.48 × 1,463.45
  4. Step 4: Simplify right side
    1,644.89x = 3,594,916.06
  5. Step 5: Solve for x
    x = 3,594,916.06/1,644.89
  6. Step 6: Final answer
    x = 2,185.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.