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Finding the Fourth Proportional to 1,685.21, 2,325.31 and 938.99

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Solution

The fourth proportional to 1,685.21, 2,325.31 and 938.99 is: 1,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.21 : 2,325.31 = 938.99 : x
  2. Step 2: Convert to fraction form
    1,685.21/2,325.31 = 938.99/x
  3. Step 3: Cross multiply
    1,685.21x = 2,325.31 × 938.99
  4. Step 4: Simplify right side
    1,685.21x = 2,183,446.30
  5. Step 5: Solve for x
    x = 2,183,446.30/1,685.21
  6. Step 6: Final answer
    x = 1,295.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.