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Finding the Fourth Proportional to 2,780.72, 4,172.22 and 1,219.92

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Solution

The fourth proportional to 2,780.72, 4,172.22 and 1,219.92 is: 1,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.72 : 4,172.22 = 1,219.92 : x
  2. Step 2: Convert to fraction form
    2,780.72/4,172.22 = 1,219.92/x
  3. Step 3: Cross multiply
    2,780.72x = 4,172.22 × 1,219.92
  4. Step 4: Simplify right side
    2,780.72x = 5,089,774.62
  5. Step 5: Solve for x
    x = 5,089,774.62/2,780.72
  6. Step 6: Final answer
    x = 1,830.38

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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.