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Finding the Fourth Proportional to 1,211.41, 1,812.99 and 1,016.63

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Solution

The fourth proportional to 1,211.41, 1,812.99 and 1,016.63 is: 1,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.41 : 1,812.99 = 1,016.63 : x
  2. Step 2: Convert to fraction form
    1,211.41/1,812.99 = 1,016.63/x
  3. Step 3: Cross multiply
    1,211.41x = 1,812.99 × 1,016.63
  4. Step 4: Simplify right side
    1,211.41x = 1,843,140.02
  5. Step 5: Solve for x
    x = 1,843,140.02/1,211.41
  6. Step 6: Final answer
    x = 1,521.48

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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.