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Finding the Fourth Proportional to 2,012.62, 3,016.48 and 855.94

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Solution

The fourth proportional to 2,012.62, 3,016.48 and 855.94 is: 1,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.62 : 3,016.48 = 855.94 : x
  2. Step 2: Convert to fraction form
    2,012.62/3,016.48 = 855.94/x
  3. Step 3: Cross multiply
    2,012.62x = 3,016.48 × 855.94
  4. Step 4: Simplify right side
    2,012.62x = 2,581,925.89
  5. Step 5: Solve for x
    x = 2,581,925.89/2,012.62
  6. Step 6: Final answer
    x = 1,282.87

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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.