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Finding the Fourth Proportional to 2,057.52, 3,084.36 and 1,325.28

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Solution

The fourth proportional to 2,057.52, 3,084.36 and 1,325.28 is: 1,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.52 : 3,084.36 = 1,325.28 : x
  2. Step 2: Convert to fraction form
    2,057.52/3,084.36 = 1,325.28/x
  3. Step 3: Cross multiply
    2,057.52x = 3,084.36 × 1,325.28
  4. Step 4: Simplify right side
    2,057.52x = 4,087,640.62
  5. Step 5: Solve for x
    x = 4,087,640.62/2,057.52
  6. Step 6: Final answer
    x = 1,986.68

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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.