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Finding the Fourth Proportional to 1,731.23, 2,389.11 and 945.28

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Solution

The fourth proportional to 1,731.23, 2,389.11 and 945.28 is: 1,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.23 : 2,389.11 = 945.28 : x
  2. Step 2: Convert to fraction form
    1,731.23/2,389.11 = 945.28/x
  3. Step 3: Cross multiply
    1,731.23x = 2,389.11 × 945.28
  4. Step 4: Simplify right side
    1,731.23x = 2,258,377.90
  5. Step 5: Solve for x
    x = 2,258,377.90/1,731.23
  6. Step 6: Final answer
    x = 1,304.49

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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.