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Finding the Fourth Proportional to 1,685, 2,325.32 and 986.39

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Solution

The fourth proportional to 1,685, 2,325.32 and 986.39 is: 1,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685 : 2,325.32 = 986.39 : x
  2. Step 2: Convert to fraction form
    1,685/2,325.32 = 986.39/x
  3. Step 3: Cross multiply
    1,685x = 2,325.32 × 986.39
  4. Step 4: Simplify right side
    1,685x = 2,293,667.46
  5. Step 5: Solve for x
    x = 2,293,667.46/1,685
  6. Step 6: Final answer
    x = 1,361.23

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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.