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Finding the Fourth Proportional to 1,725.08, 2,380.64 and 939.14

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Solution

The fourth proportional to 1,725.08, 2,380.64 and 939.14 is: 1,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.08 : 2,380.64 = 939.14 : x
  2. Step 2: Convert to fraction form
    1,725.08/2,380.64 = 939.14/x
  3. Step 3: Cross multiply
    1,725.08x = 2,380.64 × 939.14
  4. Step 4: Simplify right side
    1,725.08x = 2,235,737.65
  5. Step 5: Solve for x
    x = 2,235,737.65/1,725.08
  6. Step 6: Final answer
    x = 1,296.02

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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.