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Finding the Fourth Proportional to 1,731.39, 2,389.34 and 945.43

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Solution

The fourth proportional to 1,731.39, 2,389.34 and 945.43 is: 1,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.39 : 2,389.34 = 945.43 : x
  2. Step 2: Convert to fraction form
    1,731.39/2,389.34 = 945.43/x
  3. Step 3: Cross multiply
    1,731.39x = 2,389.34 × 945.43
  4. Step 4: Simplify right side
    1,731.39x = 2,258,953.72
  5. Step 5: Solve for x
    x = 2,258,953.72/1,731.39
  6. Step 6: Final answer
    x = 1,304.71

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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.