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Finding the Fourth Proportional to 1,721.96, 2,582.15 and 551.73

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Solution

The fourth proportional to 1,721.96, 2,582.15 and 551.73 is: 827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.96 : 2,582.15 = 551.73 : x
  2. Step 2: Convert to fraction form
    1,721.96/2,582.15 = 551.73/x
  3. Step 3: Cross multiply
    1,721.96x = 2,582.15 × 551.73
  4. Step 4: Simplify right side
    1,721.96x = 1,424,646.86
  5. Step 5: Solve for x
    x = 1,424,646.86/1,721.96
  6. Step 6: Final answer
    x = 827.34

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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.