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Finding the Fourth Proportional to 2,725.06, 4,084.74 and 2,484.49

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Solution

The fourth proportional to 2,725.06, 4,084.74 and 2,484.49 is: 3,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.06 : 4,084.74 = 2,484.49 : x
  2. Step 2: Convert to fraction form
    2,725.06/4,084.74 = 2,484.49/x
  3. Step 3: Cross multiply
    2,725.06x = 4,084.74 × 2,484.49
  4. Step 4: Simplify right side
    2,725.06x = 10,148,495.68
  5. Step 5: Solve for x
    x = 10,148,495.68/2,725.06
  6. Step 6: Final answer
    x = 3,724.14

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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.