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Finding the Fourth Proportional to 2,012.68, 3,019.02 and 551.98

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Solution

The fourth proportional to 2,012.68, 3,019.02 and 551.98 is: 827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.68 : 3,019.02 = 551.98 : x
  2. Step 2: Convert to fraction form
    2,012.68/3,019.02 = 551.98/x
  3. Step 3: Cross multiply
    2,012.68x = 3,019.02 × 551.98
  4. Step 4: Simplify right side
    2,012.68x = 1,666,438.66
  5. Step 5: Solve for x
    x = 1,666,438.66/2,012.68
  6. Step 6: Final answer
    x = 827.97

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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.