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Finding the Fourth Proportional to 2,721.12, 4,083.30 and 989.88

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Solution

The fourth proportional to 2,721.12, 4,083.30 and 989.88 is: 1,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.12 : 4,083.30 = 989.88 : x
  2. Step 2: Convert to fraction form
    2,721.12/4,083.30 = 989.88/x
  3. Step 3: Cross multiply
    2,721.12x = 4,083.30 × 989.88
  4. Step 4: Simplify right side
    2,721.12x = 4,041,977.00
  5. Step 5: Solve for x
    x = 4,041,977.00/2,721.12
  6. Step 6: Final answer
    x = 1,485.41

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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.