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Finding the Fourth Proportional to 1,684.43, 2,324.48 and 938.35

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Solution

The fourth proportional to 1,684.43, 2,324.48 and 938.35 is: 1,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.43 : 2,324.48 = 938.35 : x
  2. Step 2: Convert to fraction form
    1,684.43/2,324.48 = 938.35/x
  3. Step 3: Cross multiply
    1,684.43x = 2,324.48 × 938.35
  4. Step 4: Simplify right side
    1,684.43x = 2,181,165.31
  5. Step 5: Solve for x
    x = 2,181,165.31/1,684.43
  6. Step 6: Final answer
    x = 1,294.90

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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.