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Finding the Fourth Proportional to 1,983.73, 2,737.64 and 1,099.53

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Solution

The fourth proportional to 1,983.73, 2,737.64 and 1,099.53 is: 1,517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.73 : 2,737.64 = 1,099.53 : x
  2. Step 2: Convert to fraction form
    1,983.73/2,737.64 = 1,099.53/x
  3. Step 3: Cross multiply
    1,983.73x = 2,737.64 × 1,099.53
  4. Step 4: Simplify right side
    1,983.73x = 3,010,117.31
  5. Step 5: Solve for x
    x = 3,010,117.31/1,983.73
  6. Step 6: Final answer
    x = 1,517.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.