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Finding the Fourth Proportional to 3,185.71, 4,393.41 and 2,065.54

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Solution

The fourth proportional to 3,185.71, 4,393.41 and 2,065.54 is: 2,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.71 : 4,393.41 = 2,065.54 : x
  2. Step 2: Convert to fraction form
    3,185.71/4,393.41 = 2,065.54/x
  3. Step 3: Cross multiply
    3,185.71x = 4,393.41 × 2,065.54
  4. Step 4: Simplify right side
    3,185.71x = 9,074,764.09
  5. Step 5: Solve for x
    x = 9,074,764.09/3,185.71
  6. Step 6: Final answer
    x = 2,848.58

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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.