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Finding the Fourth Proportional to 2,528.36, 3,793.40 and 1,295.44

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Solution

The fourth proportional to 2,528.36, 3,793.40 and 1,295.44 is: 1,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.36 : 3,793.40 = 1,295.44 : x
  2. Step 2: Convert to fraction form
    2,528.36/3,793.40 = 1,295.44/x
  3. Step 3: Cross multiply
    2,528.36x = 3,793.40 × 1,295.44
  4. Step 4: Simplify right side
    2,528.36x = 4,914,122.10
  5. Step 5: Solve for x
    x = 4,914,122.10/2,528.36
  6. Step 6: Final answer
    x = 1,943.60

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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.