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Finding the Fourth Proportional to 2,211.55, 3,052.02 and 1,216.80

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Solution

The fourth proportional to 2,211.55, 3,052.02 and 1,216.80 is: 1,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.55 : 3,052.02 = 1,216.80 : x
  2. Step 2: Convert to fraction form
    2,211.55/3,052.02 = 1,216.80/x
  3. Step 3: Cross multiply
    2,211.55x = 3,052.02 × 1,216.80
  4. Step 4: Simplify right side
    2,211.55x = 3,713,705.57
  5. Step 5: Solve for x
    x = 3,713,705.57/2,211.55
  6. Step 6: Final answer
    x = 1,679.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.