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Finding the Fourth Proportional to 2,012.53, 3,018.92 and 551.65

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Solution

The fourth proportional to 2,012.53, 3,018.92 and 551.65 is: 827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.53 : 3,018.92 = 551.65 : x
  2. Step 2: Convert to fraction form
    2,012.53/3,018.92 = 551.65/x
  3. Step 3: Cross multiply
    2,012.53x = 3,018.92 × 551.65
  4. Step 4: Simplify right side
    2,012.53x = 1,665,387.22
  5. Step 5: Solve for x
    x = 1,665,387.22/2,012.53
  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.