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Finding the Fourth Proportional to 2,478.36, 3,725.75 and 1,937.09

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Solution

The fourth proportional to 2,478.36, 3,725.75 and 1,937.09 is: 2,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.36 : 3,725.75 = 1,937.09 : x
  2. Step 2: Convert to fraction form
    2,478.36/3,725.75 = 1,937.09/x
  3. Step 3: Cross multiply
    2,478.36x = 3,725.75 × 1,937.09
  4. Step 4: Simplify right side
    2,478.36x = 7,217,084.75
  5. Step 5: Solve for x
    x = 7,217,084.75/2,478.36
  6. Step 6: Final answer
    x = 2,912.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.