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Finding the Fourth Proportional to 2,727.71, 3,763.94 and 1,666

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Solution

The fourth proportional to 2,727.71, 3,763.94 and 1,666 is: 2,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.71 : 3,763.94 = 1,666 : x
  2. Step 2: Convert to fraction form
    2,727.71/3,763.94 = 1,666/x
  3. Step 3: Cross multiply
    2,727.71x = 3,763.94 × 1,666
  4. Step 4: Simplify right side
    2,727.71x = 6,270,724.04
  5. Step 5: Solve for x
    x = 6,270,724.04/2,727.71
  6. Step 6: Final answer
    x = 2,298.90

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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.