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Finding the Fourth Proportional to 2,809.58, 4,215.22 and 1,989.44

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Solution

The fourth proportional to 2,809.58, 4,215.22 and 1,989.44 is: 2,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.58 : 4,215.22 = 1,989.44 : x
  2. Step 2: Convert to fraction form
    2,809.58/4,215.22 = 1,989.44/x
  3. Step 3: Cross multiply
    2,809.58x = 4,215.22 × 1,989.44
  4. Step 4: Simplify right side
    2,809.58x = 8,385,901.23
  5. Step 5: Solve for x
    x = 8,385,901.23/2,809.58
  6. Step 6: Final answer
    x = 2,984.76

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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.