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Finding the Fourth Proportional to 1,721.64, 2,582.76 and 551.61

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Solution

The fourth proportional to 1,721.64, 2,582.76 and 551.61 is: 827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.64 : 2,582.76 = 551.61 : x
  2. Step 2: Convert to fraction form
    1,721.64/2,582.76 = 551.61/x
  3. Step 3: Cross multiply
    1,721.64x = 2,582.76 × 551.61
  4. Step 4: Simplify right side
    1,721.64x = 1,424,676.24
  5. Step 5: Solve for x
    x = 1,424,676.24/1,721.64
  6. Step 6: Final answer
    x = 827.51

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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.