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Finding the Fourth Proportional to 1,983.41, 2,737.26 and 1,099.30

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Solution

The fourth proportional to 1,983.41, 2,737.26 and 1,099.30 is: 1,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.41 : 2,737.26 = 1,099.30 : x
  2. Step 2: Convert to fraction form
    1,983.41/2,737.26 = 1,099.30/x
  3. Step 3: Cross multiply
    1,983.41x = 2,737.26 × 1,099.30
  4. Step 4: Simplify right side
    1,983.41x = 3,009,050.74
  5. Step 5: Solve for x
    x = 3,009,050.74/1,983.41
  6. Step 6: Final answer
    x = 1,517.11

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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.