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Finding the Fourth Proportional to 2,272.57, 3,409.46 and 2,055.67

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Solution

The fourth proportional to 2,272.57, 3,409.46 and 2,055.67 is: 3,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.57 : 3,409.46 = 2,055.67 : x
  2. Step 2: Convert to fraction form
    2,272.57/3,409.46 = 2,055.67/x
  3. Step 3: Cross multiply
    2,272.57x = 3,409.46 × 2,055.67
  4. Step 4: Simplify right side
    2,272.57x = 7,008,724.64
  5. Step 5: Solve for x
    x = 7,008,724.64/2,272.57
  6. Step 6: Final answer
    x = 3,084.05

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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.