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Finding the Fourth Proportional to 2,665.73, 3,996.88 and 1,106.81

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Solution

The fourth proportional to 2,665.73, 3,996.88 and 1,106.81 is: 1,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.73 : 3,996.88 = 1,106.81 : x
  2. Step 2: Convert to fraction form
    2,665.73/3,996.88 = 1,106.81/x
  3. Step 3: Cross multiply
    2,665.73x = 3,996.88 × 1,106.81
  4. Step 4: Simplify right side
    2,665.73x = 4,423,767.75
  5. Step 5: Solve for x
    x = 4,423,767.75/2,665.73
  6. Step 6: Final answer
    x = 1,659.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.