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Finding the Fourth Proportional to 2,989.94, 4,121.37 and 2,359.44

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Solution

The fourth proportional to 2,989.94, 4,121.37 and 2,359.44 is: 3,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.94 : 4,121.37 = 2,359.44 : x
  2. Step 2: Convert to fraction form
    2,989.94/4,121.37 = 2,359.44/x
  3. Step 3: Cross multiply
    2,989.94x = 4,121.37 × 2,359.44
  4. Step 4: Simplify right side
    2,989.94x = 9,724,125.23
  5. Step 5: Solve for x
    x = 9,724,125.23/2,989.94
  6. Step 6: Final answer
    x = 3,252.29

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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.