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Finding the Fourth Proportional to 3,052.80, 4,211.20 and 1,811.20

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Solution

The fourth proportional to 3,052.80, 4,211.20 and 1,811.20 is: 2,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.80 : 4,211.20 = 1,811.20 : x
  2. Step 2: Convert to fraction form
    3,052.80/4,211.20 = 1,811.20/x
  3. Step 3: Cross multiply
    3,052.80x = 4,211.20 × 1,811.20
  4. Step 4: Simplify right side
    3,052.80x = 7,627,325.44
  5. Step 5: Solve for x
    x = 7,627,325.44/3,052.80
  6. Step 6: Final answer
    x = 2,498.47

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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.