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Finding the Fourth Proportional to 2,012.76, 3,019.08 and 551.91

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Solution

The fourth proportional to 2,012.76, 3,019.08 and 551.91 is: 827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.76 : 3,019.08 = 551.91 : x
  2. Step 2: Convert to fraction form
    2,012.76/3,019.08 = 551.91/x
  3. Step 3: Cross multiply
    2,012.76x = 3,019.08 × 551.91
  4. Step 4: Simplify right side
    2,012.76x = 1,666,260.44
  5. Step 5: Solve for x
    x = 1,666,260.44/2,012.76
  6. Step 6: Final answer
    x = 827.85

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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.