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Finding the Fourth Proportional to 1,684.38, 2,324.62 and 986.34

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Solution

The fourth proportional to 1,684.38, 2,324.62 and 986.34 is: 1,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.38 : 2,324.62 = 986.34 : x
  2. Step 2: Convert to fraction form
    1,684.38/2,324.62 = 986.34/x
  3. Step 3: Cross multiply
    1,684.38x = 2,324.62 × 986.34
  4. Step 4: Simplify right side
    1,684.38x = 2,292,865.69
  5. Step 5: Solve for x
    x = 2,292,865.69/1,684.38
  6. Step 6: Final answer
    x = 1,361.25

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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.