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Finding the Fourth Proportional to 2,984.32, 4,467.12 and 1,884.88

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Solution

The fourth proportional to 2,984.32, 4,467.12 and 1,884.88 is: 2,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.32 : 4,467.12 = 1,884.88 : x
  2. Step 2: Convert to fraction form
    2,984.32/4,467.12 = 1,884.88/x
  3. Step 3: Cross multiply
    2,984.32x = 4,467.12 × 1,884.88
  4. Step 4: Simplify right side
    2,984.32x = 8,419,985.15
  5. Step 5: Solve for x
    x = 8,419,985.15/2,984.32
  6. Step 6: Final answer
    x = 2,821.41

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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.