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Finding the Fourth Proportional to 2,731.36, 3,770.52 and 1,737.98

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Solution

The fourth proportional to 2,731.36, 3,770.52 and 1,737.98 is: 2,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.36 : 3,770.52 = 1,737.98 : x
  2. Step 2: Convert to fraction form
    2,731.36/3,770.52 = 1,737.98/x
  3. Step 3: Cross multiply
    2,731.36x = 3,770.52 × 1,737.98
  4. Step 4: Simplify right side
    2,731.36x = 6,553,102.39
  5. Step 5: Solve for x
    x = 6,553,102.39/2,731.36
  6. Step 6: Final answer
    x = 2,399.21

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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.