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Finding the Fourth Proportional to 1,731.50, 2,389.49 and 945.56

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Solution

The fourth proportional to 1,731.50, 2,389.49 and 945.56 is: 1,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.50 : 2,389.49 = 945.56 : x
  2. Step 2: Convert to fraction form
    1,731.50/2,389.49 = 945.56/x
  3. Step 3: Cross multiply
    1,731.50x = 2,389.49 × 945.56
  4. Step 4: Simplify right side
    1,731.50x = 2,259,406.16
  5. Step 5: Solve for x
    x = 2,259,406.16/1,731.50
  6. Step 6: Final answer
    x = 1,304.88

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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.