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Finding the Fourth Proportional to 3,185.81, 4,395.71 and 1,788.47

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Solution

The fourth proportional to 3,185.81, 4,395.71 and 1,788.47 is: 2,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.81 : 4,395.71 = 1,788.47 : x
  2. Step 2: Convert to fraction form
    3,185.81/4,395.71 = 1,788.47/x
  3. Step 3: Cross multiply
    3,185.81x = 4,395.71 × 1,788.47
  4. Step 4: Simplify right side
    3,185.81x = 7,861,586.52
  5. Step 5: Solve for x
    x = 7,861,586.52/3,185.81
  6. Step 6: Final answer
    x = 2,467.69

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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.