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Finding the Fourth Proportional to 1,725.17, 2,380.72 and 939.23

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Solution

The fourth proportional to 1,725.17, 2,380.72 and 939.23 is: 1,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.17 : 2,380.72 = 939.23 : x
  2. Step 2: Convert to fraction form
    1,725.17/2,380.72 = 939.23/x
  3. Step 3: Cross multiply
    1,725.17x = 2,380.72 × 939.23
  4. Step 4: Simplify right side
    1,725.17x = 2,236,043.65
  5. Step 5: Solve for x
    x = 2,236,043.65/1,725.17
  6. Step 6: Final answer
    x = 1,296.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.