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Finding the Fourth Proportional to 2,253.64, 3,109.62 and 1,942.60

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Solution

The fourth proportional to 2,253.64, 3,109.62 and 1,942.60 is: 2,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.64 : 3,109.62 = 1,942.60 : x
  2. Step 2: Convert to fraction form
    2,253.64/3,109.62 = 1,942.60/x
  3. Step 3: Cross multiply
    2,253.64x = 3,109.62 × 1,942.60
  4. Step 4: Simplify right side
    2,253.64x = 6,040,747.81
  5. Step 5: Solve for x
    x = 6,040,747.81/2,253.64
  6. Step 6: Final answer
    x = 2,680.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.