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Finding the Fourth Proportional to 1,684.44, 2,324.47 and 938.34

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Solution

The fourth proportional to 1,684.44, 2,324.47 and 938.34 is: 1,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.44 : 2,324.47 = 938.34 : x
  2. Step 2: Convert to fraction form
    1,684.44/2,324.47 = 938.34/x
  3. Step 3: Cross multiply
    1,684.44x = 2,324.47 × 938.34
  4. Step 4: Simplify right side
    1,684.44x = 2,181,143.18
  5. Step 5: Solve for x
    x = 2,181,143.18/1,684.44
  6. Step 6: Final answer
    x = 1,294.88

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1.5x scale

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.