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Finding the Fourth Proportional to 2,272.06, 3,405.79 and 884.53

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Solution

The fourth proportional to 2,272.06, 3,405.79 and 884.53 is: 1,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.06 : 3,405.79 = 884.53 : x
  2. Step 2: Convert to fraction form
    2,272.06/3,405.79 = 884.53/x
  3. Step 3: Cross multiply
    2,272.06x = 3,405.79 × 884.53
  4. Step 4: Simplify right side
    2,272.06x = 3,012,523.43
  5. Step 5: Solve for x
    x = 3,012,523.43/2,272.06
  6. Step 6: Final answer
    x = 1,325.90

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Why These Related Problems?

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