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Finding the Fourth Proportional to 2,725.92, 4,084.26 and 1,683.33

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Solution

The fourth proportional to 2,725.92, 4,084.26 and 1,683.33 is: 2,522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.92 : 4,084.26 = 1,683.33 : x
  2. Step 2: Convert to fraction form
    2,725.92/4,084.26 = 1,683.33/x
  3. Step 3: Cross multiply
    2,725.92x = 4,084.26 × 1,683.33
  4. Step 4: Simplify right side
    2,725.92x = 6,875,157.39
  5. Step 5: Solve for x
    x = 6,875,157.39/2,725.92
  6. Step 6: Final answer
    x = 2,522.14

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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.