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Finding the Fourth Proportional to 3,243.68, 4,866.60 and 1,052.48

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Solution

The fourth proportional to 3,243.68, 4,866.60 and 1,052.48 is: 1,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.68 : 4,866.60 = 1,052.48 : x
  2. Step 2: Convert to fraction form
    3,243.68/4,866.60 = 1,052.48/x
  3. Step 3: Cross multiply
    3,243.68x = 4,866.60 × 1,052.48
  4. Step 4: Simplify right side
    3,243.68x = 5,121,999.17
  5. Step 5: Solve for x
    x = 5,121,999.17/3,243.68
  6. Step 6: Final answer
    x = 1,579.07

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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.