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Finding the Fourth Proportional to 2,744.76, 3,788.09 and 1,566

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Solution

The fourth proportional to 2,744.76, 3,788.09 and 1,566 is: 2,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.76 : 3,788.09 = 1,566 : x
  2. Step 2: Convert to fraction form
    2,744.76/3,788.09 = 1,566/x
  3. Step 3: Cross multiply
    2,744.76x = 3,788.09 × 1,566
  4. Step 4: Simplify right side
    2,744.76x = 5,932,141.11
  5. Step 5: Solve for x
    x = 5,932,141.11/2,744.76
  6. Step 6: Final answer
    x = 2,161.26

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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.