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Finding the Fourth Proportional to 2,743.93, 3,786.69 and 1,565.02

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Solution

The fourth proportional to 2,743.93, 3,786.69 and 1,565.02 is: 2,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.93 : 3,786.69 = 1,565.02 : x
  2. Step 2: Convert to fraction form
    2,743.93/3,786.69 = 1,565.02/x
  3. Step 3: Cross multiply
    2,743.93x = 3,786.69 × 1,565.02
  4. Step 4: Simplify right side
    2,743.93x = 5,926,245.58
  5. Step 5: Solve for x
    x = 5,926,245.58/2,743.93
  6. Step 6: Final answer
    x = 2,159.77

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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.