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Finding the Fourth Proportional to 2,861.88, 4,289.64 and 1,219.20

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Solution

The fourth proportional to 2,861.88, 4,289.64 and 1,219.20 is: 1,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.88 : 4,289.64 = 1,219.20 : x
  2. Step 2: Convert to fraction form
    2,861.88/4,289.64 = 1,219.20/x
  3. Step 3: Cross multiply
    2,861.88x = 4,289.64 × 1,219.20
  4. Step 4: Simplify right side
    2,861.88x = 5,229,929.09
  5. Step 5: Solve for x
    x = 5,229,929.09/2,861.88
  6. Step 6: Final answer
    x = 1,827.45

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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.