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Finding the Fourth Proportional to 2,012.69, 3,019.01 and 551.84

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Solution

The fourth proportional to 2,012.69, 3,019.01 and 551.84 is: 827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.69 : 3,019.01 = 551.84 : x
  2. Step 2: Convert to fraction form
    2,012.69/3,019.01 = 551.84/x
  3. Step 3: Cross multiply
    2,012.69x = 3,019.01 × 551.84
  4. Step 4: Simplify right side
    2,012.69x = 1,666,010.48
  5. Step 5: Solve for x
    x = 1,666,010.48/2,012.69
  6. Step 6: Final answer
    x = 827.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.