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Finding the Fourth Proportional to 3,243.66, 4,866.63 and 1,601.37

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Solution

The fourth proportional to 3,243.66, 4,866.63 and 1,601.37 is: 2,402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.66 : 4,866.63 = 1,601.37 : x
  2. Step 2: Convert to fraction form
    3,243.66/4,866.63 = 1,601.37/x
  3. Step 3: Cross multiply
    3,243.66x = 4,866.63 × 1,601.37
  4. Step 4: Simplify right side
    3,243.66x = 7,793,275.28
  5. Step 5: Solve for x
    x = 7,793,275.28/3,243.66
  6. Step 6: Final answer
    x = 2,402.62

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Why These Related Problems?

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