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Finding the Fourth Proportional to 2,744.05, 3,786.06 and 1,565.11

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Solution

The fourth proportional to 2,744.05, 3,786.06 and 1,565.11 is: 2,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.05 : 3,786.06 = 1,565.11 : x
  2. Step 2: Convert to fraction form
    2,744.05/3,786.06 = 1,565.11/x
  3. Step 3: Cross multiply
    2,744.05x = 3,786.06 × 1,565.11
  4. Step 4: Simplify right side
    2,744.05x = 5,925,600.37
  5. Step 5: Solve for x
    x = 5,925,600.37/2,744.05
  6. Step 6: Final answer
    x = 2,159.44

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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.