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Finding the Fourth Proportional to 2,533.44, 3,800.92 and 1,301.70

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Solution

The fourth proportional to 2,533.44, 3,800.92 and 1,301.70 is: 1,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.44 : 3,800.92 = 1,301.70 : x
  2. Step 2: Convert to fraction form
    2,533.44/3,800.92 = 1,301.70/x
  3. Step 3: Cross multiply
    2,533.44x = 3,800.92 × 1,301.70
  4. Step 4: Simplify right side
    2,533.44x = 4,947,657.56
  5. Step 5: Solve for x
    x = 4,947,657.56/2,533.44
  6. Step 6: Final answer
    x = 1,952.94

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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.