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Finding the Fourth Proportional to 4,243.07, 6,362.53 and 1,743.81

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Solution

The fourth proportional to 4,243.07, 6,362.53 and 1,743.81 is: 2,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.07 : 6,362.53 = 1,743.81 : x
  2. Step 2: Convert to fraction form
    4,243.07/6,362.53 = 1,743.81/x
  3. Step 3: Cross multiply
    4,243.07x = 6,362.53 × 1,743.81
  4. Step 4: Simplify right side
    4,243.07x = 11,095,015.22
  5. Step 5: Solve for x
    x = 11,095,015.22/4,243.07
  6. Step 6: Final answer
    x = 2,614.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.