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Finding the Fourth Proportional to 1,982.76, 2,737.08 and 1,196.64

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Solution

The fourth proportional to 1,982.76, 2,737.08 and 1,196.64 is: 1,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.76 : 2,737.08 = 1,196.64 : x
  2. Step 2: Convert to fraction form
    1,982.76/2,737.08 = 1,196.64/x
  3. Step 3: Cross multiply
    1,982.76x = 2,737.08 × 1,196.64
  4. Step 4: Simplify right side
    1,982.76x = 3,275,299.41
  5. Step 5: Solve for x
    x = 3,275,299.41/1,982.76
  6. Step 6: Final answer
    x = 1,651.89

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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.