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Finding the Fourth Proportional to 1,685.30, 2,325.89 and 939.38

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Solution

The fourth proportional to 1,685.30, 2,325.89 and 939.38 is: 1,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.30 : 2,325.89 = 939.38 : x
  2. Step 2: Convert to fraction form
    1,685.30/2,325.89 = 939.38/x
  3. Step 3: Cross multiply
    1,685.30x = 2,325.89 × 939.38
  4. Step 4: Simplify right side
    1,685.30x = 2,184,894.55
  5. Step 5: Solve for x
    x = 2,184,894.55/1,685.30
  6. Step 6: Final answer
    x = 1,296.44

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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.