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Finding the Fourth Proportional to 1,631.45, 2,448.20 and 939.48

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Solution

The fourth proportional to 1,631.45, 2,448.20 and 939.48 is: 1,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.45 : 2,448.20 = 939.48 : x
  2. Step 2: Convert to fraction form
    1,631.45/2,448.20 = 939.48/x
  3. Step 3: Cross multiply
    1,631.45x = 2,448.20 × 939.48
  4. Step 4: Simplify right side
    1,631.45x = 2,300,037.28
  5. Step 5: Solve for x
    x = 2,300,037.28/1,631.45
  6. Step 6: Final answer
    x = 1,409.81

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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.