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Finding the Fourth Proportional to 2,884.50, 3,978.99 and 1,889.55

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Solution

The fourth proportional to 2,884.50, 3,978.99 and 1,889.55 is: 2,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.50 : 3,978.99 = 1,889.55 : x
  2. Step 2: Convert to fraction form
    2,884.50/3,978.99 = 1,889.55/x
  3. Step 3: Cross multiply
    2,884.50x = 3,978.99 × 1,889.55
  4. Step 4: Simplify right side
    2,884.50x = 7,518,500.55
  5. Step 5: Solve for x
    x = 7,518,500.55/2,884.50
  6. Step 6: Final answer
    x = 2,606.52

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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.