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Finding the Fourth Proportional to 2,744.01, 3,786.69 and 1,565.01

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Solution

The fourth proportional to 2,744.01, 3,786.69 and 1,565.01 is: 2,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.01 : 3,786.69 = 1,565.01 : x
  2. Step 2: Convert to fraction form
    2,744.01/3,786.69 = 1,565.01/x
  3. Step 3: Cross multiply
    2,744.01x = 3,786.69 × 1,565.01
  4. Step 4: Simplify right side
    2,744.01x = 5,926,207.72
  5. Step 5: Solve for x
    x = 5,926,207.72/2,744.01
  6. Step 6: Final answer
    x = 2,159.69

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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.