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Finding the Fourth Proportional to 1,685.05, 2,325.24 and 939.04

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Solution

The fourth proportional to 1,685.05, 2,325.24 and 939.04 is: 1,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.05 : 2,325.24 = 939.04 : x
  2. Step 2: Convert to fraction form
    1,685.05/2,325.24 = 939.04/x
  3. Step 3: Cross multiply
    1,685.05x = 2,325.24 × 939.04
  4. Step 4: Simplify right side
    1,685.05x = 2,183,487.56
  5. Step 5: Solve for x
    x = 2,183,487.56/1,685.05
  6. Step 6: Final answer
    x = 1,295.80

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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.